Fridays 2:30-3:30 eastern time
McBryde 321
Quantum supersymmetric pairs and ıSchur duality of type AI-II
Yalong Shen (UVA)
Jellyfish, the arithmetic-geometric mean, and elliptic curves
Eleanor Mcspirit (UVA)
The lookup conjecture and rational smoothness in type $\tilde{A}_2$
William Graham (UGA)
Complexity, Exactness, and Rationality in Continuous and Discrete Polynomial Optimization
Robert Hildebrand (VT)
March 27, 4-5 pm, Derring 1076
Rank metric codes, Shellability and Homology
Sudhir R. Ghorpade (IIT Bombay)
Title TBA
Graduate Student talks
Gromov-Witten invariants in the Quantum K-theory of maximal Orthogonal Grassmannians
Mihail Tarigradschi (Rutgers)
1:30-2:30 and 2:30-3:30
ACTIVIT talks
Alberto Ravagani and Ben Jany
Positivity in Weighted Flag Varieties
Scott Larson (UGA)
Abstract: Let H ⊆ B ⊆ G be Cartan and Borel subgroups in a connected reductive complex algebraic group, and let Z be the complement of the zero section of a line bundle on G/B corresponding to a dominant weight λ of H. Let χ be a cocharacter of H such that for every Weyl group element w ∈ W, the pairing wλ ⋅ χ is strictly positive. Let S = χ(C×) and call X = S ∖ Z the weighted flag variety.
The torus T = H/S acts on X, which enables the study of T-equivariant cohomology of X. In the case where X = G/P, Graham proved that the equivariant structure constants with respect to a Schubert basis satisfy positivity with respect to a system of simple roots. In the case where G = C× × GLn and λ restricts to a fundamental weight from GLn, Abe-Matsumura find the existence of a basis of HT*(X) and parameters in HT*(pt) satisfying a similar positivity. We generalize all positivity results to any G and λ, interpret the basis of HT*(X) as Poincaré dual to weighted Schubert varieties, and define the notion of weighted root to interpret geometrically the parameters in HT*(pt).
Triangular modular curves
Juanita Duque Rosero (Boston University)
Quantum K-invariants of Grassmannians via Quot schemes
Shubham Sinha (ICTP)
A presentation for the quantum K-theory ring of partial flag manifolds
Weihong Xu
Computing endomorphism rings of supersingular elliptic curves
Travis Morrison
Some modular forms and Calabi-Yau varieties from irrationality proofs and mirror symmetry
Michael Schultz
Stable-Limit Non-Symmetric Macdonald Functions
Milo Bechtloff Weising
Quantum cohomology and mirror symmetry for flag varieties from two perspectives
Joshua Wen (Northwestern)
Quantum cohomology and mirror symmetry for flag varieties from two perspectives
Elena Kalashnikov (Waterloo)
Analogue of Fomin-Stanley algebra on bumpless pipedreams
Tianyi Yu (UC San Diego)
Counting 0-dimensional sheaves on singular curves
Yifeng Huang
The volume polynomials of zonotopes
Ivan Soprunov (Cleveland State)
Hyperelliptic Curves mapping to Abelian Surfaces and Applications to Beilinson's Conjecture for zero-cycles
Evangelia Gazaki (UVA)
Bumpless pipe dreams meet puzzles
Rui Xiong (Ottawa)