Guoliang Yu, Texas A&M University
"Index theory of the Dirac operator on manifolds with polyhedral boundary and its applications"
I will introduce a new index theory for Dirac operators on manifolds with polyhedral boundary and discuss how this theory can be applied to solve Gromov's dihedral extremality conjecture on scalar curvature. This is joint work with Jinmin Wang and Zhizhang Xie. This talk will be accessible to non-experts including graduate students.