Session S35 - Moduli Spaces in Algebraic Geometry and Applications

Wednesday, July 14, 12:40 ~ 13:20 UTC-3

Rationality of moduli spaces

Inder Kaur

Pontifı́cia Universidade Católica do Rio de Janeiro (PUC-Rio), Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In 2003, Larsen and Lunts established a connection between motivic integration and stable rationality. Recently, Nicaise and Shinder used this to prove that stable rationality is preserved under certain degeneration of smooth families. Theses ideas have been further developed by Kontsevich and Tschinkel. In this talk, I will survey these results and discuss how they can be applied to detecting rationality for certain moduli spaces. This is joint work in progress with Ananyo Dan.

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