Seminar time: Thursdays 1:50-2:45pm.
Location: Dulles Hall DU12.
January 9:
Title: TBD
Abstract: TBD
January 16:
January 23:
January 30:
February 6: Yewen Sun (The Ohio State University)
Title: A symmetric multivariate Elekes-Rónyai theorem
Abstract: The Elekes-Rónyai theorem is a well-known result in additive combinatorics. Their work has been significantly generalized and improved by many mathematicians, in part due to its connections to other areas such as geometry and model theory. In 2020, Ray and Tov extended the Elekes-Rónyai theorem to higher dimensions. Jing, Roy, and Tran later proved a symmetric version of the theorem in 2022. In this talk, we will discuss our recent work generalizing the symmetric Elekes-Rónyai theorem to higher dimensions. We also proved an Erdős-Szemerédi-type theorem for two polynomials in higher dimensions, generalizing a result by Jing, Roy, and Tran. The key ingredient in our proofs is a variation of a theorem by Elekes, Nathanson, and Ruzsa.
February 13: Jimmy He (The Ohio State University)
Title: TBD
Abstract: TBD
February 20:
February 27:
March 6:
March 13: Spring Break, No Seminar
March 20:
March 27: Bogdan Ion (University of Pittsburgh)
Title: TBD
Abstract: TBD
April 3: Akshat Mudgal (Warwick)
Title: TBD
Abstract: TBD
April 10:
April 17:
April 24:
May 1: