MIST 2017 Seminar Series
(December 15, 2017)
Venue: | Rm502a, 5/F, Academic Building No. 1, The Chinese University of Hong Kong
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Date: | December 15th, 2017
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Time: | 10:30 a.m. - 11:30 a.m.
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Speaker: | Wai Kit YEUNG (Indiana University, USA)
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Title: | Perverse sheaves and knot contact homology
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Abstract: | In this talk, I will present a universal construction, called homotopy braid closure, that produces
invariants of links in R^3 starting with a braid group action on objects of a (model) category.
Applying this construction to the natural action of the braid group B_n on the category of perverse
sheaves on the two-dimensional disk with singularities at n marked points, we obtain a differential
graded (DG) category that extends knot contact homology in the sense of L. Ng. As an application,
we show that the category of finite-dimensional modules over the 0-th homology of this DG category
is equivalent to the category of perverse sheaves on R^3 with singularities at most along the link.
[This is joint work with Yu. Berest and A. Eshmatov.]
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Transportation: | Please click here
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Enquiry: | Ms. Caris CHUNG (email address: caris@ims.cuhk.edu.hk)
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~~~ All are Welcome ~~~ |
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