Thời gian: 14h00 Thứ Năm ngày 23/01/2025

Địa điểm: Phòng 612 nhà A6 - Viện Toán học

Tóm tắt: The integral identity conjecture of Kontsevich and Soibelman plays an important role in proving the existence of motivic Donaldson-Thomas invariants for three-dimensional noncommutative Calabi-Yau manifolds. There are a number of different formulations of this conjecture in different contexts and accordingly, there are corresponding solutions to them. The methods devoted to solving this conjecture are diverse, ranging from ℓ-adic cohomology of rigid analytic varieties to Hrushovski-Kazhdan motivic integration and motivic Fubini theorem for tropicalization maps,... In this talk, I will explain a proof of the integral identity in motivic homotopy theory by means of the Braden hyperbolic localization theorem. This method has the advantages that it is functorial, true for algebraic spaces and can realize to other settings.

Online (Join Zoom Meeting): https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1