Scattering amplitudes and positive Grassmannian by Jaroslav Trnka
Program : School on Cluster Algebras ORGANIZERS : Ashish Gupta and Ashish K Srivastava DATE & TIME : 08 December 2018 to 22 December 2018 VENUE : Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Iva Halacheva: Schubert calculus and self-dual puzzles
Abstract: Puzzles are combinatorial objects developed by Knutson and Tao for computing the expansion of the product of two Grassmannian Schubert classes. I will describe how selfdual puzzles give the restriction of a Grassmannian Schubert class to the symplectic Grassmannian in equivariant
From playlist Useful math
algebraic geometry 19 The Veronese surface and the variety of lines in space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers two examples of projective varieties: the Veronese surface in 5-dimensional projective space, and the variety of all lines in 3-dimensional space.
From playlist Algebraic geometry I: Varieties
algebraic geometry 20 Grassmannians
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It is about Grassmannians and some of their applications.
From playlist Algebraic geometry I: Varieties
Michael Finkelberg: Irreducible equivariant perverse coherent sheaves on affine Grassmannians of...
Title: Irreducible equivariant perverse coherent sheaves on affine Grassmannians of type A and dual canonical bases Abstract: S. Cautis and H. Williams identified the equivariant K-theory of the affine Grassmannian of GL(n) with a quantum unipotent cell of LSL(2). Under this identificatio
From playlist Algebraic and Complex Geometry
Nonlinear algebra, Lecture 4: "Linear Spaces and Grassmanians", by Mateusz Michalek
This is the fourth lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
Lauren Williams: Newton-Okounkov bodies for Grassmannians
Abstract: In joint work with Konstanze Rietsch (arXiv:1712.00447), we use the X-cluster structure on the Grassmannian and the combinatorics of plabic graphs to associate a Newton-Okounkov body to each X-cluster. This gives, for each X-cluster, a toric degeneration of the Grassmannian. We a
From playlist Combinatorics
Representations of (acyclic) quivers, Auslander-Reiten sequences... (Lecture 4) by Laurent Demonet
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Geordie Williamson: Miraculous Treumann-Smith theory and geometric Satake
Abstract: This talk will be about geometric approaches to the representation theory of reductive algebraic groups in positive characteristic p. A cornerstone of the geometric theory is the geometric Satake equivalence, which gives an incarnation of the category of representations as a cate
From playlist Geordie Williamson: Representation theory and the Geometric Satake
First examples of cluster structures on coordinate algebras,... (Lecture 1) by Maitreyee Kulkarni
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
