Edited to add Galway
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 algebracarries rich information about the ring and its module category. The algebra
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
or equivalently constructing the complex
. By diligent choice of computational route, the computation can be framed as essentially computing the homology of the differential graded algebra
.
Being the homology of a dg-algebra,
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
.
I’ll be in San Diego for the AMS-MAA Joint Mathematics Meetings, January 5-11. I would be happy to meet up with cool people, blog readers, blog writers and what not - regardless of whether you actually will participate in the meeting or not. Drop me an email (contact data in the [about] page here) and we’ll coordinate something.
No mathematical content today. However, I do note that the mathematics department in Sydney is located in a building as drab and boring as the Stockholm University main building. Its main architectural feature is the pale, washed out blue panels on the upper parts of the hollow concrete slab.
Just a short way away, though, we find the Quadrangle - a cathedral in the religion of learning, and the main building of Sydney campus. Complete with stained glass windows and stucco heraldic designs, all dedicated to the branches of scholarship.
Alas, the splendour suffers slightly from the extensive road construction work, which has just about managed to fence in and tear up almost all the tarmac in this corner of campus.