Elements of non-commutative algebraic geometry

Introduction

The classical theory of algebraic geometry connects geometric concepts with corresponding notions in commutative algebra. In the recent decades there was an interest in building a parallel theory based on associative (non-commutative) algebras. We will discuss the basic ideas of this developing theory mostly following Ginzburg's lectures as well as several more recent papers.

The class will consist of two parts:

1. The first 2/3 will be lectures read by me: Mon, Wed, Fri, Oct 16 - Nov 17, 15:20 - 16:55, room a3-2-301.

2. The last third of the class will be for students to give talks to each other on the related topics. For this part we will meet once a week on Fridays from Nov 24 until Jan 12, 15:20 - 16:55, room a3-2-301.

Lecturer Intro

I have MSc degree in Applied Math / Computer Science from St. Petersburg IFMO and PhD in pure mathematics from Yale University. From 2014 to 2022 I held postdoctoral and visiting researcher positions in Japan, UK, Germany and France. I've joined BIMSA in 2023.

My current research interests include geometric representation theory, super groups and non-commutative algebraic geometry.