Homotopy meets homology, Dublin, May 27-31, 2019

Description of the workshop:

Computing various homological invariants of associative algebras (such as Tor and Ext of various modules, Hochschild (co)homology, cyclic homology etc.) has been an active research topic in ring theory for many years. More recently (about 15 years ago), ring theorists became interested in associative algebras up to homotopy, or A-algebras, as a recipe to produce meaningful "higher structures" on classical objects like Yoneda Ext-algebras.

This offers two different perspectives on associative algebras: homological invariants are "Abelian" (i. e. arise when one works with additive categories, e.g. chain complexes of modules over a ring), while homotopical invariants are "non-Abelian" (i. e. arise from non-additive categories, like the category of all differential graded associative algebras). However, these two perspectives are closely related, and it is often possible to recover homological information from the homotopical one, and the other way round. For experts in homotopical algebra on a larger scale (beyond the associative ring theory), this philosophy is already present in works of Stasheff and Hinich on homotopy algebras.

The goal of this workshop is to provide a forum for experts in related areas to share ideas with each other and with younger researchers, identify new promising connections and explore arising research directions.

Host institution

The workshop will be hosted by Hamilton Mathematics Institute, Trinity College Dublin.

Speakers to include:

Joseph Chuang (City University)
Karin Erdmann (Oxford)
Edward Green (Virginia Tech)
Estanislao Herscovich (Grenoble)
Dmitri Kaledin (Steklov Institute)
Bernhard Keller (Paris 7), mini-course
Steffen Koenig (Stuttgart)
Julian Külshammer (Uppsala)
Wendy Lowen (Antwerp)
Maria Julia Redondo (Universidad del Sur)
Sibylle Schroll (Leicester)
Jim Stasheff* (U Penn)
Chelsea Walton (Urbana-Champaign)
Sarah Witherspoon (Texas A&M), mini-course



* video lecture

Organisers:

Vladimir Dotsenko (HMI/TCD)
Vincent Gélinas (HMI/TCD)
Andrea Solotar (Buenos Aires)

Sponsors:

We gratefully acknowledge support of the Hamilton Mathematics Institute and the Simons Foundation.

Registration and financial support:

We invite all mathematicians interested in attending the event to fill in an online registration form. That form will be available until May 13, 2019. We encourage all participants to fill it in as soon as possible; this would be very helpful for optimal planning of the event.

If you wish to apply for financial support, we require you to fill in the form and send your recent CV and list of publications together with estimate of required funding (in Euro) to Vladimir Dotsenko (vdots@maths.tcd.ie) before March 20, 2019. We expect to have more information on available funding shortly after that deadline, and we shall get in touch with all participants who requested funding soon after that.

List of registered participants:

Will be published in due course.

Poster:

A poster in the PDF format is available here; feel free to disseminate!

Statement of inclusiveness:

This event is open to all interested mathematicians, regardless of race, sex, religion, national origin, sexual orientation, gender identity, disability, age, pregnancy, immigration status, or any other aspect of identity.