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Number Theory Seminar

The shifted convolution problem for Siegel modular forms

Matthew Young

Location:  HLL 525
Date & time: Tuesday, 27 January 2026 at 2:00PM - 3:00PM

Abstract: The shifted convolution problem for Fourier coefficients of cusp forms has seen a lot of attention due to applications towards moments of L-functions and the subconvexity problem. However, the problem for higher rank automorphic forms (beyond GL_2) has been a notorious bottleneck towards progress on the sixth moment of the Riemann zeta function. In this talk, I will discuss recent progress on the problem for Siegel cusp forms on Sp_4. This is joint work with Wing Hong (Joseph) Leung.