Student Harmonic Analysis and PDE Seminar (HADES): Fried's conjecture in small dimensions

Seminar | November 6 | 3:40-5 p.m. | 740 Evans Hall

 Colin Guillarmou, Univ. Paris Sud (Orsay)

 Department of Mathematics

We explain how to use microlocal methods in order to show Fried's conjecture relating torsion and Ruelle zeta function in dimension 3 and some cases in dimension 5. In higher dimensions we show that the value of the Ruelle zeta function at 0 is a local invariant of the connection (thus independent of the Anosov flow) under certain spectral assumptions, providing new insights toward Fried’s conjecture. Joint work with Nguyen Viet Dang, Gabriel Rivière, and Shu Shen.