Finite covers of surfaces and simple closed curves

Justin Malestein (Oklokoma)

Monday 19th November, 2018 15:00-16:00 Maths 311B


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 consequence 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.

Add to your calendar

Download event information as iCalendar file (only this event)