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3. Oct 2024

S-dual of Hamiltonian G spaces and relative Langlands duality

Algebraic Geometry and Number Theory Seminar

Datum: 3. October 2024 | 13:00 – 15:00
Sprecher: Hiraku Nakajima, IPMU
Veranstaltungsort: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Sprache: Englisch

The S-dual (G∨M∨) of the pair (GM) of a smooth affine algebraic symplectic manifold M with hamiltonian action of a complex reductive group G was introduced implicitly in [arXiv:1706.02112] and explicitly in [arXiv:1807.09038] under the cotangent type assumption. The definition was a modification of the definition of Coulomb branches of gauge theories in [arXiv:1601.03586]. It was motivated by the S-duality of boundary conditions of 4-dimensional N=4 super Yang-Mills theory, studied by Gaiotto and Witten [arXiv:0807.3720]. It is also relevant to the relative Langlands duality proposed by Ben-Zvi, Sakellaridis and Venkatesh. In this article, we review the definition and properties of S-dual.

Weitere Informationen:

Datum:
3. October 2024
13:00 – 15:00

Sprecher:
Hiraku Nakajima, IPMU

Veranstaltungsort:
Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)

Sprache:
Englisch

Ansprechpartner:

Oosthuizen-Noczil Birgit

Email:
boosthui@ist.ac.at

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