Speaker: Zelin Yi (Tongji University)
Time: 2025-07-03 14:30
Location: R1410, SIMIS
Abstract:
Classical Lichnerowicz formula show that if a closed spin manifold has positive scalar curvature, then the Dirac operator is invertible. In fact, one can twisted the Dirac operator by flat vector bundles and still have the invertibility. The Rosenberg index is the universal obstruction to positive scalar curvature over all possible flat bundles. In this talk, we shall see that if the manifold is foliated then the Rosenberg index is also an obstruction to leafwise positive scalar curvature.
Speaker Bio:
Zelin Yi is an Assistant Professor at Tongji University. He have previously held a postdoctoral position at the Chern Institute of Mathematics at Nankai University. His research primarily focuses on index theory and differential geometry, with his work published in prestigious journals including the Journal of Noncommutative Geometry, Proceedings of the American Mathematical Society, etc.
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