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Wednesday 01 Nov 2023Diophantine approximation and dynamics of diagonal flow on homogeneous spaces

Seonhee Lim - Seoul National University

Newman Purple 13:30-14:30


Diophantine properties are closely related to properties of orbits of a diagonal flow on SL(n,R) / SL(n,Z). In this talk, we will see one question, namely Hausdorff dimension of bad vectors for a matrix, that can be solved using such correspondence. (This talk is based on the joint works with Uri Shapira and Nicolas de Saxce, with Taehyeong Kim and Wooyeon Kim, and Taehyeong Kim and Frederic Paulin.)


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