Deformation theory

Wednesdays 2:30–3:55pm, usually at MSRI, CCN 15820

Topic

We will explore the deformation theory of algebras and categories, with special attention to the commutative case and the role of
curvings and matrix factorizations.

References will be updated.

Tentative schedule of lectures

Date	Topic	Speaker	References
2/20	Introduction and outline of the seminar	Teleman	3, 4
2/27	The role of curvings in deformation of categories	Teleman	1, 2. MSRI auditorium
3/6	Matrix factorizations and categories of singularities	Teleman	1, 2, 5. 736 Evans Hall!
3/13	Deformations and Lie algebras in characteristic p	Lukas Brantner	MSRI Baker Room
3/20	Postponed to 4/5	Chris Kuo	MSRI Baker Room
4/3	The LG/CY correspondence	Ben Gammage	MSRI Baker Room
4/5	Superpotentials from Mirror Symmetry	Chris Kuo	TBA
4/10	Curved Deformations and generators in MF categories	German Stefanich	6
4/17	Formality of En via Hodge theory	Dmitry Vaintrob
4/24	Supertpotentials in QFT (after Gaiotto-Moore-Witten)	Raeez Lorgat
4/26	Generators in Matrix Factorization categories	Yixuan Li
5/1	No meeting (see topology seminar)
5/3	Superpotentials from QFT, Part Deux	Raeez Lorgat
5/8	Hodge theory methods for superpotentials (after Si Li)	Ben Gammage

References

(Berkeley Library and sometimes source links)

W. Lowen, Hochschild cohomology, the characteristic morphism and derived deformations. arXiv:0707.2602
B. Keller and W. Lowen, On Hochschild cohomology and derived deformations. IMRN Notices 2009 17, 3321–3235
D. Eisenbud, Homological algebra on a Complete Instersection with an application to Group Representations. Trans. AMS 260, 35–64
D. Orlov, Derived categories of coherent sheaves and triangulated categories of Singularirites. arXiv:math/0503632
C. Teleman, Appendix to Matrix Factorization for Morse-Bott functions. arXiv:1611.07057
A. Blanc, L. Katzarkov, P. Pandit, Generators in formal deformations of categories. arXiv:1701.07789
More to come ...