Communtative Algebra-Algebraic and Aritmetic Geometry UAM-ICMAT
An Elementary Introduction to the Homological Conjectures
Speaker: Luisa Gietl (Universidad de Viena)Date: Monday, 08 May 2023 - 12:45Place: Aula 420, Módulo 17, Departamento de Matemáticas, UAM
Abstract:
The homological conjectures form a collection of conjectures and theorems that have been studied since the 1960s. Early progress has been achieved in the equal-characteristic case. Moreover, many relations between the conjectures have been established. This talk will serve as an elementary introduction to a selection of these conjectures. We will focus on the Direct Summand Conjecture which plays a central role due to its many relations with other homological conjectures. We will restrict to the equal characteristic case which was first established by M. Hochster in 1973.
