This file can be used to add scheduled events to your calendar, however every program is unique. Below you will find what information is available, but if nothing else works try creating a new calendar in your program and using
http://math.colorado.edu/seminars/ics/topo.ics
as the source.
Thunderbird
This is the departmental seminar on algebraic topology and related topics.
We usually have a semester theme, for which speakers from the department are invited to contribute talks, and external guest speakers who will give talks on current research in topology. The semester themes for Fall 2022 are "sheaves and logic" and "applied topology". The seminar website is here.
Hours and Venue: Tuesdays, 3:30pm - 4:30pm in MATH 350
The homology groups of the unordered configuration spaces of a graph form a finitely generated module over the polynomial ring generated by its edges; in particular, each Betti number is eventually equal to a polynomial in the number of particles, an analogue of classical homological stability. Wishing to lift this result to an analogue of representation stability, one encounters the unavoidable fact that the corresponding algebraic structure at the level of ordered configuration spaces is non-Noetherian. Thus, finite generation results are likely to be neither useful nor within easy reach. Drawing on ideas from twisted algebra and factorization homology, we circumvent this obstacle to give a complete asymptotic calculation of the Betti numbers of pure graph braid groups over any field and, in characteristic zero, of the multiplicities of many irreducible representations of the symmetric groups. This talk represents joint work with Hainaut and Wawrykow, building on joint work with An and Drummond-Cole.
Representation asymptotics in the homology of pure graph braid groups
Tue, Nov. 11 1:30pm (MATH 3…
Itamar Mor (University of Illinois Urbana-Champaign)
X
The lower central series is a classical device to deform a group into an abelian group, or in fact into a Lie algebra. In the 60s, Curtis and Rector used this to define a version of the unstable Adams spectral sequence. I'll describe a categorification of this construction in the spirit of synthetic spectra, which gives a way to deform a space into an animated Lie algebra. Many classical constructions in unstable homotopy theory may be deformed in this way: for example, I will discuss how this may be used to relate the EHP spectral sequence to Curtis' algebraic EHP spectral sequence, which can essentially be computed by machine.
Representation asymptotics in the homology of pure graph braid groups