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Caltech

Number Theory Seminar

Thursday, April 30, 2026
4:00pm to 5:00pm
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Linde Hall 387
A new proof of the Arithmetic Siegel--Weil formula
Yu Luo, PhD Candidate, Department of Mathematics, University of Wisconsin-Madison,

The arithmetic Siegel--Weil formula establishes a profound connection between intersection numbers in Shimura varieties and the Fourier coefficients of central derivatives of Eisenstein series. This result was proven by C. Li and W. Zhang in 2022 using local methods. In this talk, I will present a new proof of the formula that uses the local-global compatibility and the modularity of generating series of special divisors.

For more information, please contact Caltech Mathematics Group by phone at 6263954335 or by email at [email protected].