Consortium Distinguished Lecture Series
Ernesto Lupercio

Localization Methods for Orbifolds and Motivic Integration

Orbifolds as Stacks
Stringy Cohomology and Localization

Dr. Ernesto Lupercio
Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional (CINVESTAV)

Thursday, May 26, 2022, Noon (Miami)
Online
Click here to view video

Lecture 1.1. Orbifolds as Stacks: In this lecture, we will interpret orbifolds as stacks and then introduce twisted sectors and the like.

Lecture 1.2. Stringy Cohomology and Localization: This lecture will explain what Stringy cohomology is and how localization methods allow us to understand some of its properties.

Motivic Integration
Stringy Chern Classes

Dr. Ernesto Lupercio
Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional (CINVESTAV)

Friday, May 27, 2022, Noon (Miami)
Online
Click here to view video

Lecture 2.1. Motivic Integration: We will introduce the basics of motivic integration.

Lecture 2.2. Stringy Chern Classes: We will explain how all the previous come together to study stringy Chern classes of singular varieties.