Tuesday, April 28th, 2026
Math Event: Geometry/Topology Seminar: Shihang He - A proof for the Riemannian positive mass theorem up to dimension 19
Time: 4:00 PM - 5:15 PM
Location: P-131
Speaker: Shihang He
Abstract: We prove the Riemannian positive mass theorem up to dimension 19, building on a combination of torical symmetrization and the singularity blow-up technique, together with the generic regularity theory for area-minimizing hypersurfaces developed by Chodosh, Mantoulidis, Schulze and Wang. This is a joint work with Yuchen Bi, Tianze Hao, Yuguang Shi and Jintian Zhu.
Speaker: Shihang He
Abstract: We prove the Riemannian positive mass theorem up to dimension 19, building on a combination of torical symmetrization and the singularity blow-up technique, together with the generic regularity theory for area-minimizing hypersurfaces developed by Chodosh, Mantoulidis, Schulze and Wang. This is a joint work with Yuchen Bi, Tianze Hao, Yuguang Shi and Jintian Zhu.
Wednesday, April 29th, 2026
YITP Event: YITP Seminar Speaker: Yannis Semertzidis from Brookhaven and KAIST
Time: 9:45 AM - 10:45 AM
Location:
Math Event: Algebraic Geometry Seminar: Dan Petersen - Moments of families of quadratic L-functions over function fields via homotopy theory
Time: 4:00 PM - 5:00 PM
Location:
Speaker: Dan Petersen
Abstract: This is a report of joint work with Bergström-Diaconu-Westerland and Miller-Patzt-Randal-Williams. There is a "recipe" due to Conrey-Farmer-Keating-Rubinstein-Snaith which allows for precise predictions for the asymptotics of moments of many different families of L-functions. We consider the family of all L-functions attached to hyperelliptic curves over some fixed finite field. One can relate this problem to understanding the homology of the hyperelliptic mapping class group with symplectic coefficients. With Bergström-Diaconu-Westerland we compute the stable homology groups of the hyperelliptic mapping class group with these coefficients, together with their structure as Galois representations. With Miller-Patzt-Randal-Williams we prove a uniform range for homological stability with these coefficients. Together, these results imply the CFKRS predictions for all moments in the function field case, for all sufficiently large (but fixed) q.
Speaker: Dan Petersen
Abstract: This is a report of joint work with Bergström-Diaconu-Westerland and Miller-Patzt-Randal-Williams. There is a "recipe" due to Conrey-Farmer-Keating-Rubinstein-Snaith which allows for precise predictions for the asymptotics of moments of many different families of L-functions. We consider the family of all L-functions attached to hyperelliptic curves over some fixed finite field. One can relate this problem to understanding the homology of the hyperelliptic mapping class group with symplectic coefficients. With Bergström-Diaconu-Westerland we compute the stable homology groups of the hyperelliptic mapping class group with these coefficients, together with their structure as Galois representations. With Miller-Patzt-Randal-Williams we prove a uniform range for homological stability with these coefficients. Together, these results imply the CFKRS predictions for all moments in the function field case, for all sufficiently large (but fixed) q.