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#Reductive Groups

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University of Chicago Department of Mathematics

Representations of Reductive Groups Over Local and Global Fields

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Dive into Langlands' theory of reductive groups and their representations in number theory, exploring local and global fields and their connections to arithmetic and geometry.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

On the Left Adjoint of mod p Smooth Parabolic Induction

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Delve into advanced mathematical concepts exploring parabolic induction functors, focusing on left adjoint properties and their behavior with algebraic weights in p-adic field extensions.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
BunG Seminar

The Harder-Narasimhan Filtration and Stability Conditions for Vector Bundles

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Delve into the mathematical theory of stability conditions and Harder-Narasimhan filtration for vector bundles, exploring their applications in geometric invariant theory and moduli spaces.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
International Mathematical Union

Representations of Reductive Groups Over Local Fields

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Explore reductive group representations over local fields with Tasho Kaletha, delving into advanced mathematical concepts and their applications in algebraic number theory.
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1 Lesons
43 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Generic Character Sheaves for Parahoric Subgroups

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Exploration of Lusztig's character sheaves theory, extending to positive-depth cases and addressing Lusztig's conjecture. Focuses on perverse sheaves and parahoric Deligne-Lusztig induction in representation theory.
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1 Lesons
59 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Symmetric Closed Subsets of Real Affine Root Systems and Regular Su - Short Talk by Irfan Habib

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Explores symmetric closed subsets of real affine root systems and their applications in representation theory, focusing on algebraic and combinatorial methods.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Abelianizations of Lie Algebras by Dynkin Combinatorics

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Explore Dynkin combinatorics to understand abelianizations of Lie algebras, delving into advanced algebraic structures and their representations in modern mathematics.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Representations of Extended Affine Lie Algebras by Senapathi Eswara Rao

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Explore representations of extended affine Lie algebras, delving into advanced algebraic structures and their applications in mathematical physics and quantum field theory.
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1 Lesons
52 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

From Faces of Weyl Polytopes, to Weights and Characters of Highest Weight Modules by Apoorva Khare

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Explore connections between Weyl polytopes, weights, and characters in highest weight modules. Gain insights into algebraic and combinatorial methods in representation theory.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Mystery and Magic of Component Tableaux by Anthony Joseph

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Explore the intricacies of component tableaux in representation theory, uncovering their mysterious properties and magical applications in algebraic structures.
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1 Lesons
58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Hasse Principle for Reductive Groups over P-Adic Function Fields

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Explore the Hasse Principle for reductive groups over p-adic function fields in this advanced mathematics lecture by Raman Parimala, part of a program on Zariski dense subgroups and number theory.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Eigenvarieties and Arithmetic - Connection to L-Functions

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Explore eigenvarieties, p-adic automorphic forms, and their connection to L-functions. Discover the local geometry of eigenvarieties and its significance in arithmetic.
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1 Lesons
57 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Support Variety Theory for Algebraic Supergroups

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Explore algebraic supergroups and support variety theory in this advanced mathematics lecture, focusing on representations and Frobenius symmetric monoidal tensor categories.
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1 Lesons
52 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Unipotent Character Sheaves and Strata of a Reductive Group

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Explore unipotent character sheaves and strata of reductive groups with George Lusztig, delving into advanced mathematical concepts and their applications.
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1 Lesons
49 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Springer Theory for Homogeneous Affine Springer Fibers

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Explore Springer theory for homogeneous affine Springer fibers, examining their role in geometric representation theory and connections to Hitchin integrable systems and quantum groups.
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1 Lesons
1 hour 38 minutes
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Free-Video
NCCR SwissMAP

Equivariant Derived Category of a Reductive Group as a Categorical Center

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Explore equivariant derived categories of reductive groups and their role as categorical centers in representation theory.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
BIMSA

Structure of Equivariant Derived Categories - ICBS 2024

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Explore equivariant derived categories, their structure theorems, and applications to GIT quotients and hidden symmetries in algebraic geometry.
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1 Lesons
53 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Similarities Between Representation Theories of Finite Groups in Positive Characteristic and Algebraic Supergroups

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Explore similarities between representation theories of finite groups in positive characteristics and algebraic supergroups, including Sylow subgroups and Green correspondence for supergroups.
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1 Lesons
42 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Globalization of Supercuspidal Representations Over Function Fields and Applications - Lecture 3

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Delve into advanced automorphic representation theory, exploring Poincare series, supercuspidal representations, and Langlands-Shahidi theory in function fields through expert mathematical discourse.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
BunG Seminar

Shtukas and Global Langlands for Function Fields - Talk 37

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Delve into V. Lafforgue's groundbreaking proof of global Langlands correspondence, exploring shtukas, geometric Satake, and excursion operators in function fields through expert analysis.
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1 Lesons
2 hours 7 minutes
On-Demand
Free-Video
BunG Seminar

The Global Hecke Action - Talk 41

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Delve into geometric Satake theory and explore how Rep(G^vee) actions on BunG sheaves integrate into global Hecke modifications, with applications in Betti, de Rham, and étale settings.
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1 Lesons
1 hour 48 minutes
On-Demand
Free-Video