#Math101 Session 28 (Alumni Talk)

Time：Sep. 22, 2025, 16:00-18:00

Location：E102 Hai Tian Building, Chang'an Campus

Speaker：Mr. Liu, Yiheng (University of Regensburg)

Title：Introduction to spin geometry and Dirac operator

Abstract：Spin geometry lies at the intersection of differential geometry and topology, where objects such as spin manifolds, Dirac operators, and index theorems play a central role in both mathematics and mathematical physics. In this talk, I will introduce Clifford algebras and their representations, spinor bundles, Dirac operators, and the Schrodinger-Lichnerowicz formula. Together, these elements provide the foundational framework for the study of spin geometry.