Homological Mirror Symmetry by Nick Sheridan@IAS (2013)

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source: LeonhardEuler1     2014年6月14日
A series of lectures by Nick Sheridan (Veblen Research Instructor at IAS, Princeton) on homological Mirror Symmetry. The first lecture was given on November 4, 2013, and the video can be found on the IAS website via the following link: https://video.ias.edu/hms/2013/1104-N...
This lecture consists of a broad overview of mirror symmetry as an equivalence of complex geometry of certain manifolds and the symplectic geometry of its mirror manifold. Sheridan maintained a website accompanying these lectures (with handwritten notes in pdf form), which can be found at: http://www.math.ias.edu/~nicks/HMS.html
In this lecture, he refers to a paper of Witten's in which the terminology "A-model" and "B-model" were introduced, which can be found here: http://arxiv.org/pdf/hep-th/9112056v1...
Moreover, he mentions the famous prediction regarding the number of certain rational curved of Candelas, de la Ossa, Green, and Parkes, which can be found here: http://enka.klacto.net/data/COGP.pdf
Finally, he also mentions the verification of these predictions by Givental and independently by Lian, Liu, and Yau, and below are (some of) the relevant papers:
Givental:
http://arxiv.org/abs/alg-geom/9603021
http://arxiv.org/abs/math/9807070
Lian, Liu, Yau:
http://arxiv.org/abs/alg-geom/9712011
http://arxiv.org/abs/math/9905006
http://arxiv.org/abs/math/9912038

(Lecture 1/11) 57:42
(Lecture 2/11) 1:31:25
(Lecture 3/11) 1:25:26
(Lecture 4/11) 1:26:22
(Lecture 5/11) 1:28:59
(Lecture 6/11) 1:27:23
(Lecture 7/11) 1:32:58
(Lecture 8/11) 1:29:53
(Lecture 9/11) 1:27:07
(Lecture 10/11) 1:24:44
(Lecture 11/11) 1:32:27

Workshop: Homological Mirror Symmetry (Hebrew University of Jerusalem)

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source: Hebrew University of Jerusalem    上次更新日期：2015年6月24日

Day 1 - Cedric Membrez (FC1) Definition of Fukaya category 1:11:44
Day 1 - Nick Sheridan (MC2) The pair of pants 1:38:11
Day 1 - Netanel Blaier (AC1) Abstract A∞ categories 1:06:43
Day 1 - Nick Sheridan (MC1) introduction 1:10:01
Day 1 - Uri Brezner (CS1) Derived categories 1:11:33
Day 1 - Amitai Zernik (AC2) Homological perturbation lemma 1:03:45
Day 2 - Netanel Blaier (AC3) Hochschild cohomology 1:06:51
Day 2 - Netanel Blaier (AC3) Hochschild cohomology Part 2 32:07
Day 2 - Nick Sheridan (MC3) Deformation theory 51:28
Day 2 - Lena Gal (MF1) Matrix factorizations 1:15:53
Day 2 - Cedric Membrez (FC2) Abouzaid's split generation 1:34:03
Day 2 - Nick Sheridan (MC4) The B-model 1:09:40
Day 3 - Nick Sheridan (MC5) Automatic split-generation 1:04:40
Day 3 - Adam Gal (MF2) Ideas in the proof of Orlov's theorem 57:13
Day 3 - Nick Sheridan (MC6) The Fano case 1:03:22