Commutative Algebra and Algebraic Geometry Seminar

The seminar meets on selected Fridays 4:00-5:00 PM at the CUNY Graduate Center, room 4214.03 (math thesis room). The CUNY Graduate Center is located at 365 Fifth Avenue, New York, NY 10016.

Organizers:

Laura Ghezzi, New York City College of Technology and the Graduate Center (CUNY), laura.ghezzi58@citytech.cuny.edu

Hans Schoutens, New York City College of Technology and the Graduate Center (CUNY), hschoutens@citytech.cuny.edu

Fei Ye, Queensborough Community College and the Graduate Center (CUNY), feye@qcc.cuny.edu

Fall 2024 dates: September 20, October 18, November 1, November 15, December 6

September 20

Speaker: Nathan Chen, Harvard University

Title: On measures of irrationality and rational group actions

Abstract: In this talk, we will survey measures of irrationality, with an emphasis on recent results for surfaces. We will then explore some of the variational properties of the degree of irrationality, in the presence of a rational group action. This is joint work with L. Esser.

October 18

Speaker: Anh Duc Vo, Harvard University

Title: Du Bois complexes and singularities

Abstract: In this talk, I will discuss the notion of Du Bois complexes and provide an overview of classical notions such as rational and Du Bois singularities. I will then discuss their recent extensions to k-rational and k-Du Bois singularities, both for local complete intersections (LCIs) and non-LCI varieties. Additionally, I will discuss results on the injectivity and vanishing properties of Du Bois complexes in the context of these generalizations. This talk is based on joint work with Mihnea Popa, Wanchun Shen, and Sridhar Venkatesh.

November 1

Speaker: Shiji Lyu, University of Illinois at Chicago

Title:

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November 15

Speaker: Ben Blum-Smith, NYU Center for Data Science

Title:

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December 6

Speaker: James Myer, CUNY Graduate Center

Title:

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