Langlands Duality for the Affine Hecke Category
Explore Langlands duality for affine Hecke category, its applications in representation theory, and potential generalizations to symplectic singularities. Gain insights into geometric local Langlands duality.
The Global Unramified Geometric Langlands Equivalence
Explore the global unramified geometric Langlands conjecture, its history, motivation, and recent proof, along with remaining open questions in the field.
Circle Action of Microlocal Kernels
Explore the construction of an S^1 action using microlocal kernels and its application in the sheaf theoretical proof of the contact non-squeezing theorem.
Instanton Sheaves - The Next Frontier in Algebraic Geometry
Explore instanton sheaves, a frontier in algebraic geometry. Gain insights from expert Marcos Jardim on this advanced mathematical topic within the V Latin American School of Algebraic Geometry.
Modeling Shapes and Fields - A Sheaf Theoretic Perspective
Explore topological transforms for shape and field modeling, including Euler Characteristic and Lifted Euler Characteristic. Learn about sheaf theory in shape space construction and its applications in statistical analysis.
Localizing Invariants of Large Categories: General Theory
Delve into advanced algebraic K-theory concepts, exploring dualizable stable categories, continuous K-theory applications, and their relationship with sheaf categories on Hausdorff spaces.
Localizing Motives, Algebraic KK-Theory and Refined Negative Cyclic Homology
Delve into advanced algebraic geometry concepts exploring localizing motives, their rigidity properties, and applications in refined negative cyclic homology and topological cyclic homology.
Overview of Restricted Geometric Langlands Theory
Delve into categorical formulations of geometric Langlands theory, exploring restricted local systems, their applications in arithmetic, and connections to automorphic forms through Frobenius traces.
The Global Hecke Action - Talk 41
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.
How Can Large Language Models Learn From Humans? - Understanding Psycholinguistic Predictions and Sheaf Theory
Explore how combining lexical predictions from LLMs with syntactic structures can improve language understanding, using sheaf theory to better match human reading patterns and comprehension.
Introduction to Perverse Sheaves - Part 2
Delve into advanced mathematical concepts of perverse sheaves, exploring theoretical foundations and applications in topology and algebraic geometry through expert insights.
Cohomological Hall Algebras, Their Representations, and Nakajima Operators
Delve into advanced algebraic geometry concepts, exploring cohomological Hall algebras, geometric representations, and Nakajima operators through the lens of zero-dimensional sheaves on smooth surfaces.