YMSC/BIMSA Short Course: Perverse schobers

Title: Perverse schobers in representation theoryDates: Every Weds. 2022-2-23~2022-4-13 Time: Beijing time 4:00-4:45+4:50-5:35pm = CET(Europe time) 9:00-9:45+9:50-10:35.Organizer: Qiu YuZoom ID: 361 038 6975 Passcode: BIMSAJoin Zoom Meeting: https://us02web.zoom.us/j/3610386975?pwd=YW4yeWFKbkVjcWtVSXFxYnZVUnQ0Zz09Abstract：The goal of this course is to introduce the audience to the emerging ...

主讲人：Merlin Christ(University of Hamburg)

Perturbation problems for extremal Kähler metrics

The aim of this lecture series is to present some results on perturbation problems for extremal Kähler metrics, which are a generalisation of constant scalar curvature Kähler (cscK) metrics. The goal in these problems is to create new such metrics from old ones, via analytic techniques where the linearisation of the equation plays a central role. The first lecture will be on background on cscK and extremal metrics (following [13]). To prepare for the perturbation problems I will discuss, a particular emphasis will be on the linear theory,

主讲人：Lars Martin Sektnan (University of Gothenburg)

Brief Introduction to Genera and Applications

The cobordism invariants, genera, play fundamental roles in manifold topology. Some specific genera, like A-hat genus, L-genus, Witten genus and elliptic genus are the topological pillars of the Atiyah-Singer index theory, spin geometry and string geometry. In this minicourse, we will give a brief introduction to genera starting from very basic knowledge and introduce some applications of genera in physics in particular anomaly cancellation problem, and in geometry concerning group actions and curvatures.

主讲人：Professor Fei Han (National University of Singapore)