Study group on Toric and Spherical Varieties

Spring 2018

This working seminar takes place one Friday out of two from 1:30 pm to 3:00 pm in Room 4214-03 at the CUNY Graduate Center. All are welcome.

Our goal is to study Toric and Spherical Varieties. This semester's topic is Horn's Problem, and its connections to symplectic geometry, representation theory and algebraic geometry.

Schedule of talks

The schedule is subject to change.

Date Speaker Title/topic Ref.

February 9 Bart Van Steirteghem (MEC & GC) Organizational meeting + Introduction to Horn's Conjecture [B]

February 16 WonGeun Kim (CUNY) Highest weight theory for GL(n,C)

February 23 Bart Van Steirteghem (MEC & GC) Horn's Inequalities and Schubert Calculus [BVW, § 2,3]

March 16 Bart Van Steirteghem (MEC & GC) Schubert varieties and their intersections [BVW, § 3,4]

May 4 Bart Van Steirteghem (MEC & GC) The symplectic and algebraic geometry of Horn's problem (following Knutson) [K]

May 11 Bart Van Steirteghem (MEC & GC) Horn's conjecture and tensor product decompositions

May 18 Bart Van Steirteghem (MEC & GC) Momentum polytopes of projective spherical varieties

Date	Speaker	Title/topic	Ref.
February 9	Bart Van Steirteghem (MEC & GC)	Organizational meeting + Introduction to Horn's Conjecture	[B]
February 16	WonGeun Kim (CUNY)	Highest weight theory for GL(n,C)
February 23	Bart Van Steirteghem (MEC & GC)	Horn's Inequalities and Schubert Calculus	[BVW, § 2,3]
March 16	Bart Van Steirteghem (MEC & GC)	Schubert varieties and their intersections	[BVW, § 3,4]
May 4	Bart Van Steirteghem (MEC & GC)	The symplectic and algebraic geometry of Horn's problem (following Knutson)	[K]
May 11	Bart Van Steirteghem (MEC & GC)	Horn's conjecture and tensor product decompositions
May 18	Bart Van Steirteghem (MEC & GC)	Momentum polytopes of projective spherical varieties

References

[BVW] N. Berline, M. Vergne, M. Walter. (2017) The Horn inequalities from a geometric point of view, arXiv:1611.06917v3 [math.AG]
[B] R. Bhatia (2001). Linear Algebra to Quantum Cohomology: The Story of Alfred Horn's Inequalities. The American Mathematical Monthly, 108(4), 289-318. doi:10.2307/2695237
[K] A. Knutson. (2000) The symplectic and algebraic geometry of Horn's problem, arXiv:math/9911088v2 [math.RA]

Organized by
Robert W. Donley, Jr. (rdonley "at-sign" qcc "dot" cuny "dot" edu)
Bart Van Steirteghem (bartvs "at-sign" mec "dot" cuny "dot" edu)

Previous working seminars: Fall 2017 2016-17 organized by RD Spring 2016 Fall 2015 Spring 2015 Spring 2013 Fall 2012 Spring 2012 Fall 2011 Spring 2011

This page is maintained by Bart Van Steirteghem and was shamelessly, indirectly copied from Pasha Belorousski. For other shameless thefts, see Michael Thaddeus' page.

Last update: 25 February 2018