Published on *Max-Planck-Institut für Mathematik* (http://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

Justin Malestein
Zugehörigkeit:

University of Oklahoma
Datum:

Don, 2018-10-25 16:30 - 17:30 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/de/node/3444

[3] http://www.mpim-bonn.mpg.de/de/node/4652