Representations of Reductive Groups Over Local and Global Fields
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.
Exceptional Splitting of Reductions of Abelian Surfaces With Real Multiplication - Yunqing Tang
Explore real multiplication in abelian surfaces, focusing on exceptional splitting of reductions. Delve into simple reduction, finite extension, and density zero concepts with insights on special devices and intersection numbers.
Class Field Theory Standpoint and Its Three Fundamental Generalisations - Lecture 2
Delve into advanced class field theory concepts, exploring Takagi's existence theory, Mochizuki's IUT theory, and modern perspectives on Langlands program and anabelian geometry.
The Geometric Langlands Conjecture and Non-Abelian Hodge Theory - Lecture 1
Explore the Geometric Langlands conjecture and non-abelian Hodge theory, examining connections between quantum fields, geometry, and representation theory in modern mathematics and theoretical physics.
The Glamorous Variety
Explore the aesthetic virtue of glamour in mathematics, focusing on semistable curves, modular curves, perfectoid rings, and connections to the Langlands program.
An Introduction to Spectral Data for Higgs Bundles
Explore spectral data for Higgs bundles, a key concept in algebraic geometry and mathematical physics, with insights on integrable systems and moduli spaces.
Mathematics - The Language of Nature
Explore symmetry's role in math and physics with Edward Frenkel, delving into the Langlands program and its potential for unifying mathematical theories in this engaging lecture.
Marie-France Vignéras- Modular Representations of P-Adic Groups
Explore modular representations of p-adic groups in the Langlands program, examining their connections to number theory and geometry using various vector spaces and modules.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program
Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 18
Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 14
Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 3
Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 8
Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 7
Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 6
Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 5
Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
An Introduction to the Langlands Program
Explore the fascinating Langlands Program, a groundbreaking mathematical theory connecting number theory, geometry, and representation theory, in this engaging lecture by Clifton Cunningham.
Categorical Local Langlands for GL_n - The Irreducible Case with Integral Coefficients
Explore the Fargues-Scholze conjecture for GL_n, focusing on irreducible parameters with integral coefficients. Learn about category localizations and L-packets in this advanced mathematical lecture.
The Langlands Program
Explore the Langlands Program, a grand unified theory of mathematics, with Professor Edward Frenkel. Discover connections between different mathematical fields and their profound implications.
Motives and Automorphic Representations
Explore the intricate connection between motives and automorphic representations in mathematics, delving into advanced concepts and their applications in number theory.
Modularity and Monodromy
Explore the intricate relationship between modularity and monodromy in mathematics, delving into advanced concepts and their applications in number theory and algebraic geometry.