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RTG Seminar on Number Theory Seminar

A Gross-Zagier Formula for CM cycles over Shimura Curves
Friday, January 15, 2021
2:00-3:50 PM
Off Campus Location
Pre-talk for graduate students: 2pm "Green's functions over modular curves"

Main talk: 3-3:50pm

In this talk I will introduce my thesis work in progress to prove a Gross-Zagier formula for CM cycles over Shimura curves. The formula connects the global height pairing of special cycles in Kuga varieties over Shimura curves with the derivatives of the L-functions associated to weight-2k modular forms. As a key original ingredient of the proof, I will introduce some harmonic analysis on local systems over graphs, including an explicit construction of Green's function, which we apply to compute some local intersection numbers. Speaker(s): Boya Wen (Princeton University)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics