Time: 9:30 - 11:00, Wednesday April 13, 2022

Abstract: We establish a Schmidt's subspace theorem for non-subdegenerate families of hyperplanes. In particular, our result improves the previous result on Schmidt's subspace type theorem for the case of non-degenerate families of hyperplanes, and furthermore, also shows the sharpness of the condition of non-subdegeneracy. As a consequence, we deduce a version of Lang's conjecture on exceptional sets in the case of complements of hyperplanes.

Online: https://meet.google.com/esi-huxm-xqg