Christian klevdal - Christian Klevdal. Mathematics. Research in Number Theory. 2019. Under the assumption of the Hodge, Tate and Fontaine–Mazur conjectures we give a criterion …

 
Jordan Klevdal, English. Franco Agustin Sola ... Parker Christian Hinton, summa cum laude. Isaac ... Christian Michael Houghland, with distinction. Nathan Edward .... Marshalls greeneville

Christian Roots: All Saints' Day and All Souls' Day - All Saints' Day was created by the Catholic Church to legitimize the pagan celebrations of late October. Learn about All Saint...Christian Klevdal at the University of Utah (The U) in Salt Lake City, Utah teaches MATH 105 - Algebra: College, MATH 1050 - Coll Alg, MATH 1090 - Business Algebra, MATH 1220 - Calculus II.Christian Klevdal (University of Utah, PhD 2021. Now a postdoc at UNIST) Kevin Childers (University of Utah, PhD 2020. First position: postdoc at University of Arizona) Shiang Tang (University of Utah, PhD 2018. First position: J.L. Doob Research Assistant Professor at UI Urbana Champaign)Screencast not available for this lecture; playing Audio Lecture 27, 3/13/2024. 12:00 PM-Warren Lecture Hall 2205. This text will be replacedI will discuss joint work with Christian Klevdal showing that for exceptional Shimura varieties the points (over number fields, say) at least yield compatible systems of l-adic representations, which should be the l-adic realizations of the conjectural motives.Let A be an abelian variety over a number field E ⊂ C and let G denote the Mumford–Tate group of A. After replacing E by a finite extension, the action of the absolute Galois group Gal(E/E) on the…SEAN HOWE AND CHRISTIAN KLEVDAL Abstract. We reinterpret and generalize the construction of local Shimura varieties and their non-minuscule analogs by viewing them …[27] Christian Klevdal, A Galois Correspondence with Generalized Covering Spaces, 2015, Under- graduate Honors Thesis, University of Colorado, Boulder. [28] ... Christian Klevdal; Stefan Patrikis; Let G G be a reductive group, and let X X be a smooth quasi-projective complex variety. We prove that any G G -irreducible, G G -cohomologically rigid local ... Christian Klevdal: Integrality of G-local systems: Thu: Apr 22: 21:00: Owen Barrett: The derived category of the abelian category of constructible sheaves: Thu: Apr 15: 21:00: Lance Miller: Finiteness of quasi-canonical lifts of elliptic curves: Thu: Apr 08: 17:00: Mahesh Kakde: On the Brumer-Stark conjecture and applications to Hilbert's 12th ...arXiv:2308.11064v1 [math.NT] 21 Aug 2023 ADMISSIBLE PAIRS AND p-ADIC HODGE STRUCTURES II: THE BI-ANALYTIC AX-LINDEMANN THEOREM SEAN HOWE AND CHRISTIAN KLEVDAL Abstract. We reinterSEAN HOWE AND CHRISTIAN KLEVDAL Abstract. We reinterpret and generalize the construction of local Shimura varieties and their non-minuscule analogs by viewing them …Now on home page. adsCHRISTIAN KLEVDAL AND STEFAN PATRIKIS Abstract. For a Shimura variety (G,X) in the superrigid regime and neat level subgroup K 0, we show that the canonical family of ℓ-adic representations associated to a number field point y …CHRISTIAN KLEVDAL AND STEFAN PATRIKIS Abstract. Let G be a reductive group, and let X be a smooth quasi-projective complex variety. We prove that any G-irreducible, G-cohomologically rigid local system on X with finite order abelianization and quasi-unipotent local monodromies is integral. This general-izes work of Esnault and Groechenig when ...Sep 30, 2022 · MATH 103A - Modern Algebra I - LE [A00] Professor Klevdal, Christian Sleek. Fall 2022. Screencast not available for this lecture; playing Audio. Christian Klevdal (UC San Diego) p-adic periods of admissible pairs. In this talk, we study a Tannakian category of admissible pairs, which arise naturally when one is comparing etale and de Rham cohomology of p-adic formal schemes. Admissible pairs are parameterized by local Shimura varieties and their non-minuscule generalizations, which ...Abstract: Simpson conjectured that for a reductive group G G, rigid G G -local systems on a smooth projective complex variety are integral. I will discuss a proof of integrality for cohomologically rigid G G -local systems. This generalizes and is inspired by work of Esnault and Groechenig for GLn G L n. Surprisingly, the main tools used in the ...This NSF Research Training Grant award, RTG: Algebra, Geometry, and Topology at the University of Utah is designed to train a new generation of researchers in mathematics. It funds activities for undergraduates, graduate students and postdoctoral scholars as well as several activities in collaboration with the University of Utah chapter of the ...Advancing research. Creating connections. CHRISTIAN KLEVDAL AND STEFAN PATRIKIS Abstract. Let G be a reductive group, and let X be a smooth quasi-projective complex variety. We prove that any G-irreducible, G-cohomologically rigid local system on X with finite order abelianization and quasi-unipotent local monodromies is integral. This general-izes work of Esnault and Groechenig when ... Christian Klevdal: 2:00p-2:50p: WLH 2005: For lecture-specific information, such as instructor and TA contact information, visit the Canvas page for your lecture.Professor Klevdal, Christian Sleek - SP24. MATH 109 - Mathematical Reasoning - LE [B00] Courses.ucsd.edu - Courses.ucsd.edu is a listing of class websites, lecture notes, library … CHRISTIAN KLEVDAL AND STEFAN PATRIKIS Abstract. Let G be a reductive group, and let X be a smooth quasiprojective complex variety. We prove that any G-irreducible, G-cohomologically rigid local system on X with finite order abelianization and quasi-unipotent local monodromies is integral. This general-izes work of Esnault and Groechenig when G ... Christian Klevdal; Under the assumption of the Hodge, Tate and Fontaine-Mazur conjectures we give a criterion for a compatible system of l-adic representations to be isomorphic to the second ...Klevdal, Christian "Recognizing Galois representations of K3 surfaces" Research in Number Theory, v.5, 2019 10.1007/s40993-019-0154-1 Citation Details. Hacon, ... So I failed Math10A (and before you tell me anything, I did not take calc in hs and the professor was horrible), which I need for my major. I also planned on transferring to another school requiring Math10B to be completed which seems impossible now that I have to retake Math 10A. I enrolled in Summer Session math 10A barely today but I am not ... Are you looking for a way to express your faith while indulging in your creative side? Look no further than free Christian printables. These versatile resources offer an array of d...10A B00 Klevdal, Christian MOS 113 200 MWF 12:00p12:50p B01231200 Calculus I PODEM1A19 80 Tu 5:00p 5:50p LI, Xiaxin [email protected] WU, Yujia [email protected] + BHATTACHARYA, Sutanay [email protected] B02231201 Calculus I DIB 121 45 Tu 6:00p 6:50p LI, Xiaxin [email protected] ZHAO, Katelyn [email protected](Joint with Stefan Patrikis.) In this talk, we discuss a strong form of independence of $\ell$ for canonical $\ell$-adic local systems on Shimura varieties, and sketch a proof of this for Shimura varieties arising from adjoint groups whose simple factors have real rank $\geq 2$.arXiv:2308.11064v1 [math.NT] 21 Aug 2023 ADMISSIBLE PAIRS AND p-ADIC HODGE STRUCTURES II: THE BI-ANALYTIC AX-LINDEMANN THEOREM SEAN HOWE AND CHRISTIAN KLEVDAL Abstract. We reinter[27] Christian Klevdal, A Galois Correspondence with Generalized Covering Spaces, 2015, Under- graduate Honors Thesis, University of Colorado, Boulder. [28] ...All professors at the University of California, San Diego (UCSD) in La Jolla, California.May 30, 2008 ... ... Klevdal Marja-Liisa, Knaapi Anniina Ursula, Kulmala Joni Kristian ... Christian, Palmroth Nikki Aleksi, Poimela Niko Juha Petteri, Setälä ...So I failed Math10A (and before you tell me anything, I did not take calc in hs and the professor was horrible), which I need for my major. I also planned on transferring to another school requiring Math10B to be completed which seems impossible now that I have to retake Math 10A. I enrolled in Summer Session math 10A barely today but I am not ...Christian Klevdal is a professor in the Mathematics department at University of California San Diego - see what their students are saying about them or leave a rating yourself.@inproceedings{Klevdal2015AGC, title={A Galois Correspondence with Generalized Covering Spaces}, author={Christian Klevdal}, year={2015} } Christian Klevdal; Published 2015; Mathematics; scholar.colorado.edu. Save to Library Save. Create Alert Alert. Cite. Share This Paper. 7 Citations. Highly Influential Citations. 1.Mar 15, 2024 ... Jo Klevdal, University of North Carolina at Chapel Hill ... Christian Gerzso Pacific Lutheran University ... Christian Frameworks Traveling West: ...Christian Klevdal: 12:00p-12:50p: MOS 0113: C00: Christian Klevdal: 2:00p-2:50p: WLH 2005: For lecture-specific information, such as instructor and TA contact information, visit the Canvas page for your lecture. We will be using the following online tools to help with the success of the course.Authors: Christian Klevdal, Stefan Patrikis Download a PDF of the paper titled G-rigid local systems are integral, by Christian Klevdal and 1 other authors Download PDFChristian Klevdal - Math 102 - Spring 2023. Math 102 - Applied Linear Algebra. Spring 2023. Classroom: CSB 001. Textbook: Meckes, Linear algebra. Instructor office hours. …Faith-based Christian movies have become increasingly popular over the last few years. These films are often filled with inspiring messages and uplifting stories that can have a po...Admissible pairs and. p. -adic Hodge structures I: Transcendence of the de Rham lattice. For an algebraically closed non-archimedean extension C/Qp, we define a Tannakian category of p -adic Hodge structures over C that is a local, p -adic analog of the global, archimedean category of Q -Hodge structures in complex geometry. In this setting the ...Tannakian Categories (Christian Klevdal and Shiang Tang) Introduction to Smooth Representations of p-adic Groups (Kevin Childers) Hecke Algebras (Sabine Lang) Statement and Interpretation of the Satake Isomorphism (Shiang Tang) Proof of Satake isomorphism. Sheaf-function dictionary. (Christian Klevdal) Introduction to the affine …Christian Klevdal. Under the assumption of the Hodge, Tate and Fontaine-Mazur conjectures we give a criterion for a compatible system of l-adic representations to …CHRISTIAN KLEVDAL AND STEFAN PATRIKIS Abstract. Let G be a reductive group, and let X be a smooth quasi-projective complex variety. We prove that any G-irreducible, G-cohomologically rigid local system on X with finite order abelianization and quasi-unipotent local monodromies is integral. This general-izes work of Esnault and Groechenig when ...Under the assumption of the Hodge, Tate and Fontaine–Mazur conjectures we give a criterion for a compatible system of $$\\ell $$ ℓ -adic representations of the absolute Galois group of a number field to be isomorphic to the second cohomology of a K3 surface. This is achieved by producing a motive M realizing the compatible system, …Jun 25, 2019 ... Karen S Christian ... Christian Pentzold & Manuel Menke ... Jordan Klevdal (University of North Carolina, Chapel Hill) Miniature Memories:.Uudenmaan prikaati kouluttaa Suomen rannikkojääkärit. Uudenmaan prikaati (lyh. UUDPR, ruots. Nylands brigad, lyh.NYLBR) on Suomen merivoimien joukko-osasto ja samalla Suomen puolustusvoimien ainoa ruotsinkielinen joukko-osasto. Se sijaitsee Tammisaaren lähellä Dragsvikissä nykyisessä Raaseporin kaupungissa.. Uudenmaan …Christian Klevdal está en Facebook. Únete a Facebook para conectar con Christian Klevdal y otras personas que tal vez conozcas. Facebook da a la gente el poder de compartir y hacer del mundo un lugar...Christian Klevdal. Mathematics. Research in Number Theory. 2019; Under the assumption of the Hodge, Tate and Fontaine–Mazur conjectures we give a criterion for a compatible system of $$\ell $$ℓ-adic representations of the absolute Galois group of a number field to … Expand. 3 [PDF]We reinterpret and generalize the construction of local Shimura varieties and their non-minuscule analogs by viewing them as moduli spaces of admissible pairs. Our main application is a bi-analytic Ax-Lindemann theorem comparing, in the basic case, rigid analytic subvarieties for the two distinct analytic structures induced by the Hodge and …The Mathematics Department was originally housed in Urey Hall on the Revelle campus, and moved to what was called Building 2A-2A' (now labeled the Applied Physics and Mathematics (AP&M) building) on the Muir campus in July 1969. The Mathematics Department offices currently occupy the entire 7th and 6th floors of AP&M, in addition to parts of ...Christian Klevdal (UC San Diego) TBA. May 30. Ellen Eischen (Oregon) Algebraic and p-adic aspects of L-functions, with a view toward Spin L-functions for GSp_6. I will discuss recent developments and ongoing work for algebraic and p-adic aspects of L-functions. Interest in p-adic properties of values of L-functions originated with Kummer’s ...Christian Klevdal is on Facebook. Join Facebook to connect with Christian Klevdal and others you may know. Facebook gives people the power to share and makes the world more open and connected.Oct 19, 2023 · Abstract: In this talk, we study a Tannakian category of admissible pairs, which arise naturally when one is comparing etale and de Rham cohomology of p-adic formal schemes. Admissible pairs are parameterized by local Shimura varieties and their non-minuscule generalizations, which admit period mappings to de Rham affine Grassmannians. Christian Klevdal's 3 research works with 14 reads, including: Compatibility of canonical $\\ell$-adic local systems on Shimura varietiesKlevdal, Christian "Recognizing Galois representations of K3 surfaces" Research in Number Theory, v.5, 2019 10.1007/s40993-019-0154-1 Citation Details. Hacon, Christopher and Witaszek, ...SEAN HOWE AND CHRISTIAN KLEVDAL Abstract. We reinterpret and generalize the construction of local Shimura varieties and their non-minuscule analogs by viewing them as moduli spaces of admissible pairs. Our main application is a bi-analytic Ax-Lindemann theorem comparing, in the basic case, rigid analytic subvarieties for the two distinctJuly 28–30, 2021, Salt Lake City, Utah(postponed from May 20–22, 2020) This conference is aimed towards early graduate students and advanced undergraduate students interested in representation theory, number theory, and commutative algebra. The goal of this conference is to: Foster a sense of community amongst underrepresented groups in ...A00 Klevdal, Christian Sleek A01 97567 Calculus II APM 2402 M 5:00p 5:50p CHAN, Tik [email protected] A02 97568 Calculus II APM 2402 M 6:00p 6:50p CHAN, Tik [email protected] A03 97569 Calculus II APM 2402 M 7:00p 7:50p WILSON, Chase [email protected] A04 97570 Calculus II APM 2402 M 8:00p 8:50p WILSON, Chase …Nov 2, 2023 · Come venture into number theory in this spooky post halloween talk, where I plan on talking about some objects that are (at least tangentially) related to number theory. Christian Sleek Klevdal (born 1993) is listed at 7676 Monarch Rd Niwot, Co 80503 and has no political party affiliation. He is a male registered to vote in Boulder County, Colorado. He is a male registered to vote in Boulder County, Colorado.Jul 5, 2013 · Christian Klevdal; 9 Publications • 16 Citations; Chandrashekhar B. Khare; 53 Publications • 724 Citations; View All Co-Authors. Stay Connected With Semantic Scholar. Oct 21, 2023 · The Association for Women in Mathematics (AWM) is a professional society whose mission is to encourage women and girls to study and have active careers in the mathematical sciences and to promote equal opportunity for and the equal treatment of women and girls in mathematics. UCSD's chapter of AWM was re-established, after a four-year period of ... CHRISTIAN KLEVDAL AND STEFAN PATRIKIS Abstract. Let G be a reductive group, and let X be a smooth quasi-projective complex variety. We prove that any G-irreducible, G-cohomologically rigid local system on X with finite order abelianization and quasi-unipotent local monodromies is integral. This general-izes work of Esnault and Groechenig when ... Christian Klevdal and Stefan Patrikis, G-cohomologically rigid local systems are integral, Trans. Amer. Math. Soc. 375 (2022), no. 6, 4153-4175. MR 4419055 Independence of ℓ for frobenius ...Let A be an abelian variety over a number field E ⊂ C and let G denote the Mumford–Tate group of A. After replacing E by a finite extension, the action of the absolute Galois group Gal(E/E) on the…CHRISTIAN KLEVDAL AND STEFAN PATRIKIS Abstract. Let G be a reductive group, and let X be a smooth quasi-projective complex variety. We prove that any G-irreducible, G-cohomologically rigid local system on X with finite order abelianization and quasi-unipotent local monodromies is integral. This general-izes work of Esnault and Groechenig when ...Aug 21, 2023 · We reinterpret and generalize the construction of local Shimura varieties and their non-minuscule analogs by viewing them as moduli spaces of admissible pairs. Our main application is a bi-analytic Ax-Lindemann theorem comparing, in the basic case, rigid analytic subvarieties for the two distinct analytic structures induced by the Hodge and Hodge-Tate period maps and their lattice refinements. Jordan Klevdal. Jordan. Klevdal. Professor in the English department at The University of North Carolina at Chapel Hill. 100%. Would take again. 2.5. Level of Difficulty. Rate.Colloquium Organizers: Christian Klevdal and Priyanga Ganesan ; Undergraduate Coordinators: Finn McGlade ; Faculty Mentor: Tianyi Zheng; Click to show previous officers: Awards: 2023 EDI Excellence Award; 2021 AWM Student Chapter Award for Professional Development; Links: ...Download a PDF of the paper titled Recognizing Galois representations of K3 surfaces, by Christian Klevdal Download PDF Abstract: Under the assumption of the Hodge, Tate and Fontaine-Mazur conjectures we give a criterion for a compatible system of l-adic representations to be isomorphic to the second cohomology of a K3 surface.arXiv:2308.11064v1 [math.NT] 21 Aug 2023 ADMISSIBLE PAIRS AND p-ADIC HODGE STRUCTURES II: THE BI-ANALYTIC AX-LINDEMANN THEOREM SEAN HOWE AND CHRISTIAN KLEVDAL Abstract. We reinterAdvancing research. Creating connections.Find information for UC San Diego current students, including enrollment info, links to events, academic announcements & deadlines, and ways to get involved.Abstract: For integers s, t ≥ 2, the Ramsey number r(s, t) denotes the minimum n such that every n -vertex graph contains a clique of order s or an independent set of order t. We prove that r(4, t) = Ω( t3 log4t) as t → ∞ which determines r(4, t) up to a factor of order log2t, and solves a conjecture of Erdős.Jul 9, 2021 ... Jo Klevdal, University of North Carolina Chapel Hill. Poetry in Oral ... Karen Christian, California Polytechnic State University. A Wake/Awake: ...Christian charities play a vital role in local communities, providing assistance and support to those in need. These organizations are driven by their faith and a desire to make a ...Typical Class Size. 30-37. Christian Klevdal at the University of California, San Diego (UCSD) in La Jolla, California teaches MATH 10B - Calculus II, MATH 103A - Modern Algebra I.Christian Klevdal (University of Utah, PhD 2021. Now a postdoc at UNIST) Kevin Childers (University of Utah, PhD 2020. First position: postdoc at University of Arizona) Shiang Tang (University of Utah, PhD 2018. First position: J.L. Doob Research Assistant Professor at UI Urbana Champaign)Dr. Christian Klevdal UCSD. Number theory! Abstract: Come venture into number theory in this spooky post halloween talk, where I plan on talking about some objects that are (at least tangentially) related to number theory. Which objects will show up? Maybe elliptic curves, maybe p-adic numbers, maybe Lie groups.First course in a rigorous three-quarter introduction to the methods and basic structures of higher algebra. Topics include: groups, subgroups and factor groups, homomorphisms, rings, fields. (Students may not receive credit for both Math 100A and Math 103A.) Prerequisites: Math 31CH or Math 109 or consent of instructor.Christian Klevdal. UC San Diego. p-adic periods of admissible pairs. Abstract: In this talk, we study a Tannakian category of admissible pairs, which arise …In today’s digital age, there are countless resources available for Christians to deepen their faith and connect with God. One such resource that has gained immense popularity is f...

Quick Facts He was born on 11.30.92. His age is 30. Christian lives at 7676 Monarch Rd, Longmont, CO. Stein Bryan Klevdal and Jennifer L Sleek are also associated with this address. The phone numbers for him are (303) 652-3554 (Qwest Corp), (303) 652-3555.Various documents link the phone number (303) 652-3555 to different owners — …. Food stamp office holly springs ms

christian klevdal

Klevdal, Christian "Recognizing Galois representations of K3 surfaces" Research in Number Theory, v.5, 2019 10.1007/s40993-019-0154-1 Citation Details. Hacon, Christopher and Witaszek, ...Avdelingen ledes av hoffintendant Lars Christian Krog og har i dag 48 ansatte. Det konge- lige hushold karakteriseres av bred og høy faglig kompetanse. Det ...Klevdal, Christian "Recognizing Galois representations of K3 surfaces" Research in Number Theory, v.5, 2019 10.1007/s40993-019-0154-1 Citation Details. Hacon, ...Oct 28, 2018 ... ... Christian Perheentupa. Christian Perheentupa ... KLEVDAL UUDPR. Ilari Matias LEMPONEN RLAIV ... Christian RENFORS KARPR. Kadettikunta ja K ...SEAN HOWE AND CHRISTIAN KLEVDAL Abstract. We reinterpret and generalize the construction of local Shimura varieties and their non-minuscule analogs by viewing them as moduli spaces of admissible pairs. Our main application is a bi-analytic Ax-Lindemann theorem comparing, in the basic case, rigid analytic subvarieties for the two distinctHoney-oats • 1 mo. ago. I also have him for Math10c and be cautious that his quizzes are more conceptual terms and some of the quizzes are curve balls.His midterms consist of mixing different topics into one question.He’s alright as a professor,kind of a snooze fest but he isn’t the worst math prof out there. 4.Christian Klevdal (UCSD) Strong independence of $\ell$ for Shimura varieties (Joint with Stefan Patrikis.) In this talk, we discuss a strong form of independence of $\ell$ for canonical $\ell$-adic local systems on Shimura varieties, and sketch a proof of this for Shimura varieties arising from adjoint groups whose simple factors have real rank ...Christian Klevdal: Integrality of G-local systems: Thu: Apr 22: 21:00: Owen Barrett: The derived category of the abelian category of constructible sheaves: Thu: Apr 15: 21:00: Lance Miller: Finiteness of quasi-canonical lifts of elliptic curves: Thu: Apr 08: 17:00: Mahesh Kakde: On the Brumer-Stark conjecture and applications to Hilbert's 12th ...Kaltura not available for this lecture; playing Screencast Lecture 10, 1/31/2024. 12:00 PM-Warren Lecture Hall 2205. Also Available As:Authors: Christian Klevdal Download PDF Abstract: Under the assumption of the Hodge, Tate and Fontaine-Mazur conjectures we give a criterion for a compatible system of l-adic representations to be isomorphic to …Christian Klevdal is on Facebook. Join Facebook to connect with Christian Klevdal and others you may know. Facebook gives people the power to share and makes the world more open and connected.Christian Klevdal UCSD. Strong independence of $\ell$ for Shimura varieties Abstract: (Joint with Stefan Patrikis.) In this talk, we discuss a strong form of independence of …Terry Klevdal was born on September 29, 1926 in Bergen Norway to Signe Mikkelsen and Ludvig Klevdal. Terry married Esther (Johannessen) on March 17, 1951, and they moved to the United States in 1953.Christian Klevdal. Courses. MATH 105 - Algebra: College MATH 1050 - Coll Alg MATH 1090 - Business Algebra MATH 1220 - Calculus II. Recent Semesters Teaching. Fall 2019, Spring 2019, Spring 2018. Department. MATH. Open Seat Checker. Get notified when MATH classes have open seats. Schedule Planner.Representation Theory and Number Theory Seminar Today @ 3:30 pm in LCB 215. "Recognizing Galois Representations of K3 Surfaces" w/Christian Klevdal,...Christian Klevdal; 9 Publications • 16 Citations; Chandrashekhar B. Khare; 53 Publications • 724 Citations; View All Co-Authors. Stay Connected With Semantic Scholar.Christian Klevdal UCSD. Strong independence of $\ell$ for Shimura varieties Abstract: (Joint with Stefan Patrikis.) In this talk, we discuss a strong form of independence of $\ell$ for canonical $\ell$-adic local systems on Shimura varieties, and sketch a proof of this for Shimura varieties arising from adjoint groups whose simple factors have ...Christian Klevdal. UC San Diego. p-adic periods of admissible pairs. Abstract: In this talk, we study a Tannakian category of admissible pairs, which arise …(Joint with Stefan Patrikis.) In this talk, we discuss a strong form of independence of $\ell$ for canonical $\ell$-adic local systems on Shimura varieties, and sketch a proof of this for Shimura varieties arising from adjoint groups whose simple factors have real rank $\geq 2$..

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