Academics

YMSC Topology Seminar | Mirror symmetric Gamma conjecture for Del Pezzo surfaces

Time:Mon., 4:00-5:00 pm, Mar. 25, 2024

Venue:C654, Shuangqing Complex Building A 清华大学双清综合楼A座 C654 Online: Zoom meeting ID: 405 416 0815 Password: 111111

Organizer:陈伟彦、高鸿灏、黄意、林剑锋

Speaker:Junxiao WANG 王军啸, BICMR

Abstract:

For a del Pezzo surface of degree ≥ 3, we compute the oscillatory integral for its mirror Landau Ginzburg model in the sense of the Gross-Siebert program. We explicitly construct the mirror cycle of a line bundle and show that the leading order of the integral on this cycle involves the twisted Chern character and the Gamma class. It proves a mirror symmetric version of the Gamma conjecture for non-toric Fano surfaces with an arbitrary K-group insertion. This is joint work with Bohan Fang and Yan Zhou.

DATEMarch 25, 2024
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