Tour dates

Published: Thu 06 March 2008

I'll be doing a "US tour" in March / April. For the people who might be interested - here are my whereabouts, and my speaking engagements.

I'm booked at several different seminars to do the following:

Title: On the computation of A-infinity algebras and Ext-algebras
Abstract:

For a ring R, the Ext algebra $$Ext_R^*(k,k)$$ carries rich information about the ring and its module category. The algebra $$Ext_R^*(k,k)$$ is a finitely presented k-algebra for most nice enough rings. Computation of this ring is done by constructing a projective resolution P of k and either constructing the complex $$Hom(P_n,k)$$ or equivalently constructing the complex $$Hom(P,P)$$. By diligent choice of computational route, the computation can be framed as essentially computing the homology of the differential graded algebra $$Hom(P,P)$$.

Being the homology of a dg-algebra, $$Ext_R^*(k,k)$$ has an induced A-infinity structure. This structure, has been shown by Keller and by Lu-Palmieri-Wu-Zhang, can be used to reconstruct R from
$$Ext_R^{\leq 2}(k,k)$$.

In this talk, we shall discuss the computation of $$Ext_R^*(k,k)$$ and methods for computing an A-infinity structure on the Ext algebra. Examples will be drawn from group cohomology, where the computation of the Ext algebra has conditions from Benson and Carlson for recognizing whether a partial computation has the entire structure.

Talk dates are:
March:
19 - Stockholm University
26 - UPenn
27 - Millersville
29/30 - Graduate Student Topology Conference, UIUC
April:
8 - Stanford
11 - U Washington, Seattle
May:
8 - NUI Galway

I will be in Millersville, with occasional visits to UPenn during March 25-28 and April 10-20. I'll be somewhere in Illinois most of March 28, and at UIUC for the GSTC 29-30. I'll be at MSRI March 31-April 4, and then at Stanford April 4-10.