YoVDO

Cohomological Hall Algebras of 0-Dimensional Sheaves on Surfaces

Offered By: M-Seminar, Kansas State University via YouTube

Tags

Algebraic Geometry Courses Sheaf Theory Courses Moduli Space Courses Coherent Sheaves Courses Cohomological Hall Algebras Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the intricacies of cohomological Hall algebras (COHAs) of 0-dimensional sheaves on surfaces in this advanced mathematics lecture. Delve into the construction of COHAs from abelian categories of low homological dimension, with a focus on coherent sheaves on smooth surfaces. Examine the explicit description of the COHA for 0-dimensional sheaves, building upon the foundational work of Nakajima and Lehn. Discover how this description can be applied to derive structural results about cohomology of moduli spaces of sheaves with positive-dimensional support. Learn about the recent proof of the P=W conjecture and gain insights into joint research conducted with A. Mellit, O. Schiffmann, and E. Vasserot. This in-depth talk, presented by Alexandre Minets from MPI, Bonn, offers a comprehensive exploration of cutting-edge developments in algebraic geometry and representation theory.

Syllabus

Alexandre Minets - COHAs of 0-dimensional sheaves on surfaces


Taught by

M-Seminar, Kansas State University

Related Courses

Making Up Our Minds
Models of Consciousness Conferences via YouTube
Sheaves as Computable and Stable Topological Invariants for Datasets
Applied Algebraic Topology Network via YouTube
Sheaf Based Modeling of Wireless Communications
Applied Algebraic Topology Network via YouTube
Exemplars of Sheaf Theory in TDA
Applied Algebraic Topology Network via YouTube
Modeling Shapes and Fields - A Sheaf Theoretic Perspective
Applied Algebraic Topology Network via YouTube