### Teleman Lecture on Higher Algebras and Topological Chiral Homology

#### Posted by Urs Schreiber

This summer, Constantin Teleman is giving a small lecture series as *GQT visiting professor* in Utrecht. I may have missed some organizational information when I was travelling last week, but since I am receiving emails from across the world asking me about this lecture, I thought it might be of interest to announce whatever I am aware of here, and hopefully later provide some usable lecture notes.

Here is what I am aware of: the lectures will take place

Fridays, 11:00-12:45 in Room BBL005

starting June 10, and then probably June 17 and maybe June 24.

The lecture topics are:

the ${E}_{n}$ operad and ${E}_{n}$ algebras (in char 0)

statement of Lurie’s cobordism hypothesis

See below the fold for references.

Constantin Teleman writes:

Here is a list of papers which might be useful to glance at. They are all more difficult than my lectures, so I am not suggesting that they are prerequisites. But some preliminary knowledge of the following topics will help me sail through some portions of the talks, especially the motivational part. I do plan to explain the background precisely as needed

Curved algebras:

- Orlov,
*Derived Categories of Singularities and D-branes in Landau-Ginzburg models*, (arXiv:math/0503632)

(Just the basic notions)

- Pregyel,
*Thom-Sebastiani & Duality for Matrix Factorizations*(arXiv:1101.5834)

- Orlov,
${E}_{n}$ operad and algebras:

- Cohen-Voronov,
*Notes on String Topology*,(arxiv:math/0503625)

(esp. S.5)

- Francis:
*The tangent complex and Hochschild cohomology of ${E}_{n}$-rings*(arXiv:1104.0181)

- Cohen-Voronov,
Cobordism Hypothesis, Topological Chiral homology:

- Lurie,
*On the Classification of Topological Field Theories*S.1, S.4

- Lurie,