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.
Explicit Mod-Ell Categorical Local Langlands Correspondence for Depth-Zero Supercuspidal
Explore the explicit mod-ℓ categorical local Langlands correspondence for depth-zero supercuspidal representations of GL_2, focusing on moduli spaces and smooth representations.
Global Maximizers for Spherical Restriction by Diogo Oliveira e Silva
Explore global maximizers for spherical restriction in harmonic analysis. Gain insights into recent developments and techniques in this cutting-edge mathematical field.
New Characterizations of Sobolev Spaces by Po Lam Yung
Explores novel approaches to characterizing Sobolev spaces, advancing understanding in functional analysis and partial differential equations. Presents cutting-edge research in harmonic analysis.
Global Solutions with Asymptotic Self-Similar Behaviour for the Cubic Wave by Giuseppe Negro
Explore asymptotic self-similar behavior in global solutions for cubic wave equations. Delve into advanced harmonic analysis techniques and their applications in mathematical physics.
Explicit Examples of Categorical Local Langlands
Explore explicit examples of categorical local Langlands, focusing on GL_2 and SL_2 groups, examining fully faithful functors, sheaf computations, and connections to Langlands classification.
Geometric Eisenstein Series and Torsion Vanishing
Explores torsion vanishing in cohomology of Shimura varieties, combining geometric Eisenstein series, Fargues-Scholze local Langlands correspondence, and Hecke correspondences to extend previous results.
Progress on Local Shtukas
Explore recent advancements in local shtukas, including joint research findings and their compatibility with global shtukas in characteristic p mathematics.
Srikanth Iyengar: Congruence Modules in Higher Codimensions
Explores advanced algebraic concepts, extending Wiles' and Diamond's work on congruence modules to higher dimensions, with applications to Hecke algebras and Shimura curves.
An Introduction to Geometric Sen Theory
Explore geometric Sen theory, its applications to Shimura varieties, and connections with proétale cohomology. Learn about solid locally analytic representations and perfectoid Shimura varieties.
Anticyclotomic P-adic L-functions for Rankin-Selberg Motives
Explore anticyclotomic p-adic L-functions for Rankin-Selberg motives, their construction, conjectures, and progress towards the Iwasawa main conjecture in this advanced mathematics lecture.
Cohomology Sheaves of Stacks of Shtukas
Explore cohomology sheaves of shtuka stacks, examining smoothness outside the level and analyzing level-specific phenomena in this advanced mathematical discussion.
Some Remarks on Prismatic Cohomology of Rigid Spaces
Explore advanced mathematical concepts with renowned mathematician Peter Scholze as he delves into prismatic cohomology of rigid spaces in this insightful lecture.
Some Remarks on Prismatic Cohomology of Rigid Spaces
Explore advanced mathematical concepts with Peter Scholze as he delves into prismatic cohomology of rigid spaces, offering insights and observations on this complex topic.
Motivic Cohomology of Carlitz Twists and Its Relation to Zeta Values and Polylogarithms
Explores t-motivic cohomology in function fields, focusing on Carlitz twists and their connections to zeta values and polylogarithms, drawing parallels with classical motivic theory.
Exponentials Rarely Maximize Fourier Adjoint Restriction Estimates on Cones by Giuseppe Negro
Explore Fourier adjoint restriction estimates on cones, focusing on the rarity of exponential maximizers. Gain insights into advanced harmonic analysis techniques and their applications.
Points and Distances by Malabika Pramanik
Explore geometric relationships between points and distances in harmonic analysis. Discover recent developments in Fourier restriction, polynomial methods, and discrete analysis techniques.
Maximal Functions Associated to Families of Curves in the Plane by Joshua Zahl
Explore maximal functions related to curve families in the plane, delving into harmonic analysis techniques and recent developments in this mathematical field.
Regularized Inverse Brascamp-Lieb Inequalities
Explores advanced mathematical concepts in harmonic analysis, focusing on regularized inverse Brascamp-Lieb inequalities. Offers insights into cutting-edge research and applications in theoretical mathematics.
Estimates for Bochner-Riesz Means at the Critical Index by David Beltran
Explore advanced harmonic analysis techniques, focusing on Bochner-Riesz means estimates at the critical index. Gain insights into cutting-edge research and applications in this specialized mathematical field.
Modern Trends in Harmonic Analysis
Explore cutting-edge developments in harmonic analysis, focusing on polynomial methods and discrete harmonic analysis. Gain insights from expert lectures and research talks on recent breakthroughs and future prospects.