WSU

Department of Mathematics
Algebra-Geometry-Topology-Combinatorics(AGTC) Seminar 2012-2013

Wayne State University
College of Liberal Arts and Sciences


Talks are held Wednesdays at 1:00 PM in 1285 FAB, unless otherwise noted.
Contact Kyungyong Lee or Andrew Salch for more information.

All seminars
Colloquium
Mathematics Department home page

Winter 2013

Date Speaker and Title
January 9 Andrew Salch, Wayne State University
Hochschild cohomology
January 16 Andrew Salch, Wayne State University
Some computations in Hochschild cohomology, continued
January 23 Andrew Salch, Wayne State University
Some computations in Hochschild cohomology, continued
January 30 John Klein, Wayne State University
A-infinity spaces
February 6 Sean Tilson, Wayne State University
Introduction to Cotangent complexes
Abstract: The cotangent complex, originally constructed independently by Andre, Illusie, and Quillen, is useful object in commutative ring theory. One of its early applications was to deformation theory, it plays the role the Hochschild cochain complex does in the associative case. We will recall the construction in the setting of commutative rings before showing how to construct the cotangent complex for commutative ring spectra. If time permits, we will state some theorems that relate the cotangent complex to $E_{\infty}$ ring structures.
February 13 Sean Tilson, Wayne State University
Introduction to Cotangent complexes, continued
February 27 Sean Tilson, Wayne State University
Introduction to Cotangent complexes, continued
March 20 Andrew Salch, Wayne State University
March 27 Andrew Salch, Wayne State University

Fall 2012

Date Speaker and Title
September 26 Dan Isaksen, Wayne State University
Introduction to Auslander-Reiten Theory
October 10 Andrew Salch, Wayne State University
Introduction to Auslander-Reiten Theory, continued
October 17 Andrew Salch, Wayne State University
Introduction to Auslander-Reiten Theory, continued
October 24 Andrew Salch, Wayne State University
Some computations in Auslander-Reiten Theory, continued
November 7 Kyungyong Lee, Wayne State University
Introduction to tau-tilting Theory
November 14 Kyungyong Lee, Wayne State University
Auslander-Reiten Theory and tau-tilting Theory
November 28 Andrew Salch, Wayne State University

Winter 2012

References
  • Here is a link to Munson & Volic's (in progress) book
  • Section 10 of Dwyer and Spalinski's paper http://math.wayne.edu/~klee/DwyerandSpalinski.pdf (probably you should copy the link and paste)
  • Ruben Sanchez-Garcia's paper http://math.wayne.edu/~klee/HomotopyLimitsandColimits.pdf (probably you should copy the link and paste)
  • Date Speaker and Title
    January 25 Organization meeting
    February 1 Dan Isaksen, Wayne State University
    Introduction to model categories, I
    February 8 Dan Isaksen, Wayne State University
    Introduction to model categories, II
    February 15 Dan Isaksen and Andrew Salch, Wayne State University
    Introduction to model categories, III
    February 22 Andrew Salch, Wayne State University
    February 29 Kyungyong Lee, Wayne State University
    March 21 Kyungyong Lee and Andrew Salch, Wayne State University

    Fall 2011

    Date Speaker and Title
    October 10 Andrew Salch, Wayne State University
    Iintroduction to abelian categories and triangulated categories
    October 17 Kyungyong Lee, Wayne State University
    Cluster categories
    October 24 Li Li, Oakland University
    Geometric interpretation of the Laurent expansions of cluster variables
    The goal of the talk is to give a self-contained introduction to the geometric proof of the Laurent phenomenon of cluster variables in a cluster algebra of rank 2 associated with the generalized Kronecker quiver.
    November 7 Li Li, Oakland University
    Geometric interpretation of the Laurent expansions of cluster variables, continued
    November 14 Andrew Salch, Wayne State University
    November 21 Bob Bruner, Wayne State University
    Differential graded categories
    Kyungyong Lee, Wayne State University
    Cluster categories are triangulated