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Speaker:

Justin Malestein
Affiliation:

University of Oklahoma
Date:

Thu, 2018-10-25 16:30 - 17:30
Location:

MPIM Lecture Hall
Parent event:

Oberseminar Differentialgeometrie In this talk, I will present examples of finite covers of punctured surfaces where the first rational homology

is not spanned by lifts of simple closed curves. Additionally, I will discuss analogous results for primitive

elements and the homology of finite index subgroups of a free group. I will also present a couple consequences

of these results including a theorem that Out(F_n) modulo the group generated by kth powers of transvections

often has infinite order elements. This is joint work with Andrew Putman.

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