Speaker: Prof. Dingxin Zhang (Tsinghua University)
Time: 10:30-11:30am, December 20, 2023 (Wednesday)
Place: MCM110
Title: Dwork operator and applications to rigid cohomology
Abstract: Over a finite field, Dwork offered a link between the zeros and poles of a variety's zeta function and the spectra of a completely continuous operator. I will explain the utility of this operator in extracting arithmetic properties of the Frobenius eigenvalues in rigid cohomology. This includes identifying Frobenius eigenvalues invisible in the zeta function, and pinpointing the maximum radius of the domain where the zeta function is free from poles and zeros. (Joint work with Daqing Wan.)
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