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