IU/PU/IUPUI Joint Topology Seminar
October 13, 2018
IUPUI
Indianapolis, IN, USA
The 8th meeting of the IU/PU/IUPUI Joint Topology Seminar will
be held at IUPUI in
Indianapolis, Indiana on Saturday October 13, 2018. Talks will
begin at 10am and end at 12:30pm, followed by lunch. Talks will be
held in LD 026.
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
Schedule:
10am: Paul VanKoughnett
11:30am: Ernie Fontes
Abstracts:
Paul VanKoughnett, Purdue University: A chromatic
approach to tmf cooperations
Abstract:
The topological modular forms spectrum, tmf, is a cohomology theory
constructed from elliptic curves that captures information about
stable homotopy at chromatic heights less than or equal to 2. We
present a description of the height 1 part of the algebra of tmf
cooperations, and interpret it in terms of modular forms. This is
joint work with Dominic Culver.
Ernie Fontes, The Ohio State University: Weight
structures and the algebraic K-theory of stable ∞-categories
Abstract: Waldhausen's sphere theorem for algebraic K-theory
identifies when the K-theory of a stable category could be
identified with the K-theory of its homology spheres. We introduce
the notion of a bounded weight structure on a stable ∞-category
and prove a generalization of Waldhausen's sphere theorem.
Specifically, the algebraic K-theory of a stable ∞-category
with a bounded non-degenerate weight structure is equivalent to
the algebraic K-theory of the heart of the weight structure. We
provide examples of weight structures and recover the GilletWaldhausen
theorem as a consequence.
Directions
Talks will be held in room LD 026 in the basement of the Science
Building, on the IUPUI campus in downtown Indianapolis (402 N.
Blackford St.).
Organizers
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:
Email: dramras at iupui dot edu