IU/PU/IUPUI Joint Topology Seminar

November 4, 2017
IUPUI
Indianapolis, IN, USA

The 7th meeting of the IU/PU/IUPUI Joint Topology Seminar will be held at IUPUI in Indianapolis, Indiana on Saturday November 4, 2017. Talks will begin at 10am and end at 12:30pm, followed by lunch. Talks will be held in LD 229.

Registration

If you plan to attend, please email Dan Ramras (dramras at iupui.edu). Most parking spots on the IUPUI campus require a permit, even on weekends. Note that IU and Purdue parking permits are valid at IUPUI (details), and other visitors may park in the Gateway garage.  

Confirmed Speakers

Peter Patzt, Purdue University: Representation stability for filtrations of Torelli groups
Christopher Schommer-Pries, University of Notre Dame: Invertible Topological Field Theories

Schedule:

10am: Peter Patzt

11:30am: Christopher Schommer-Pries

Abstracts:

Peter Patzt, Purdue University: Representation stability for filtrations of Torelli groups

We show that finitely generated rational VIC_Q-modules and SI_Q-modules are uniformly representation stable and all their submodules are finitely generated. We use this to prove two conjectures of Church and Farb, which state that the quotients of the lower central series of the Torelli subgroups of Aut(F_n) and Mod(\Sigma_{g,1}) are uniformly representation stable as sequences of representations of the general linear groups and the symplectic groups, respectively. Furthermore we prove an analogous statement for their Johnson filtrations.

Christopher Schommer-Pries, University of Notre Dame: Invertible Topological Field Theories

An extended topological field theory is a functor from a higher k-category of d-dimensional manifolds and cobordisms to a target k-category. These provide manifold invariants and the simplest are the invertible topological field theories which assign invertible values to every manifold and cobordism. We will describe how invertible topological field theories can be classified in terms of the cohomology of connective covers of Madsen-Tilmann Thom spectra MTSO(d), generalizing the celebrated Galatius-Madsen-Tillmann-Weiss theorem for the case k=1. We will discuss examples and applications.
 

Directions

Talks will be held in room LD 229 of the Science Building, on the IUPUI campus in downtown Indianapolis (402 N. Blackford St.).

Campus Map

Organizers

David Gepner (dgepner at purdue dot edu)
Ayelet Lindenstrauss (alindens at indiana dot edu)
Mike Mandell (mmandell at indiana dot edu)
Jeremy Miller (jeremykmiller at purdue dot edu)
Dan Ramras (dramras at iupui dot edu)


Please contact us with questions.

Past meetings:

November 12, 2016

April 16, 2016

December 5, 2015

April 25, 2015

January 31, 2015

November 8, 2014



Email: dramras at iupui dot edu