IU/PU/IUI Joint Topology Seminar
December 9, 2023
IUI
Indianapolis, IN, USA
The 10th meeting of the IU/PU/IUI Joint Topology Seminar will
be held at IUPUI in
Indianapolis, Indiana on Saturday December 9, 2023. Coffee and light refreshments will be available starting at 9:45am in LD 002. Talks will
begin at 10am (also in LD 002) and end at 12:30pm, followed by lunch.
Registration
If you plan to attend, please email Dan Ramras (dramras at
iu edu) or your local campus organizer. Most parking spots on the IUPUI campus require a permit,
even on weekends. Note that IU parking permits are valid
at IUPUI (details),
and other visitors may park in the Gateway
garage.
Confirmed Speakers
Schedule:
10am: Manuel Rivera
11:30am: Ningchuan Zhang
Abstracts:
Manuel Rivera, Purdue University, West Lafayette: String topology and homological algebra
Abstract:
TBA
Ningchuan Zhang,
Indiana University, Bloomington: The inverse limit topology and profinite descent on K(n)-local Picard groups
Abstract: In this talk, we give an ∞-categorical explanation of the inverse limit topology on Picard groups of K(n)-local ring spectra. Building upon Burklund's result on the multiplicative structures of generalized Moore spectra, we prove that the module category over a K(n)-local commutative ring spectrum is equivalent to the limit of its base changes by a tower of generalized Moore spectra of type n. As a result, K(n)-local Picard groups are endowed with a natural inverse limit topology. This topology allows us to identify the entire E1 and E2-pages of a descent spectral sequence for Picard spaces of K(n)-local profinite Galois extensions. This is joint work with Guchuan Li.
Directions
Talks will be held in room LD 002 in the basement of the Science
Building, on the IUPUI campus in downtown Indianapolis (402 N.
Blackford St.).
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 iu dot edu)
Please contact us with questions.
Past meetings:
Email: dramras at iu dot edu