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Combinatorics and geometry of the amplituhedron

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Colloquium Speaker: Lauren Williams, Harvard University Title: Combinatorics and geometry of the amplituhedron Abstract: The amplituhedron is a geometric object introduced by Arkani-Hamed and Trnka to compute scattering amplitudes in N=4 super Yang Mills theory. It generalizes interesting objects such as cyclic polytopes and the positive Grassmannian. It has connections to tropical geometry, cluster algebras, […]

BPS Algebras in Landau-Ginzburg Models

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Speaker: Ahsan Khan (CMSA) Title: BPS Algebras in Landau-Ginzburg Models Abstract: The study of BPS states in supersymmetric quantum field theory has been a fruitful source of both mathematical and physical insights. In particular their study often leads to rich algebraic structures - from the "Algebra of the Infrared" of Gaiotto-Moore-Witten to the "Cohomological Hall […]

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Periodic pencils of flat connections and their p-curvature

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Colloquium Speaker: Pavel Etingof (MIT) Title: Periodic pencils of flat connections and their p-curvature  A periodic pencil of flat connections on a smooth algebraic variety  is a linear family of flat connections  , where  are local coordinates on  and  are matrix-valued regular functions. A pencil is periodic if it is generically invariant under the shifts  up to isomorphism. I will […]

Mathematics around Twisted Holography

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Geometry and Quantum Theory Seminar Speaker: Keyou Zeng (CMSA) Title: Mathematics around Twisted Holography Abstract: The holography principle is an important idea in physics and has been widely studied since the 90s. Twisted holography offers a way to simplify physical holography models through the procedure called twisting. In the first part of the talk, I’ll […]