IMSA Special Lecture Series
Dr. Ernesto Lupercio, CINVESTAV
Stringy Chern Classes
Friday, June 28, 2024, 4:30pm
Monday, July 1, 2024, 4:30pm
Ungar, Room 528B
Click here to join on Zoom
Abstract: The purpose of this talks is to introduce and study a theory of Chern classes for singular complex varieties by combining techniques of motivic integration with the transformation defined by MacPherson. In particular, we give a construction of a class, which we call the stringy Chern class, with strong birational properties and an interesting "orbifold'' interpretation when the variety is a Gorenstein quotient of a manifold by a finite group. The adjective "stringy" here is dictated by the analogy with other invariants that have been introduced in the literature.
This is joint work with de Fernex, Nevins and Uribe.
IMSA Special Lecture Series
Dr. Ernesto Lupercio, CINVESTAV & Dr. Enrique Becerra, University of Miami
Stringy Invariants of Orbifolds, A Course by: Dr. Becerra and Dr. Lupercio
Monday, June 24, 2024, 4:30pm
Tuesday, June 25, 2024, 4:30pm
Wednesday, June 26, 2024, 4:30pm
Ungar, Room 528B
Click here to join on Zoom
Abstract: In this lectures I will explain the notion of stringy invariant of orbifolds and show some examples. In the first lecture, I will review the classical notion of stringy invariant of log-terminal varieties. Then, in the second lecture, I will introduce motivic integration over Deligne-Mumford stacks. Finally, in the third lecture, I will define the notion of stringy invariant of orbifolds and present some well-known instances of them.
