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 - 12:45
Place:  Aula 420, Módulo 17, Departamento de Matemáticas, UAM


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.