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Status |
Confirmed |
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Seminar Series |
SEM-DARBOUX |
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Subjects |
hep-th |
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Date |
Thursday 16 May 2019 |
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Time |
11:00 |
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Institute |
LPTHE |
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Seminar Room |
bibliothèque du LPTHE, tour 13-14, 4eme étage |
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Speaker's Last Name |
Soibelman |
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Speaker's First Name |
Yan |
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Speaker's Email Address |
soibel [at] math [dot] ksu [dot] edu |
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Speaker's Institution |
Kentucky State University |
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Title |
Cohomological Hall algebras, refined BPS invariants and vertex algebra at the corner |
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Abstract |
Cohomological Hall algebras (COHAs for short) were introduced in 2010 in my joint work
with Maxim Kontsevich. They can be thought of as mathematical incarnations of
``multiparticle BPS algebras" of 3-dimensional Calabi-Yau manifolds (more generally, 3-
dimensional Calabi-Yau categories). After discussion of basic definitions I plan to overview an
application of COHA to the generalization of AGT conjecture which provides an action of
Gaiotto-Rapcak vertex algebra at the corner on the equivariant Borel-Moore homology of the
moduli space of Nekrasov's spiked instantons. |
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