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)
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, RTG Seminar on Number Theory - Department of Mathematics |
