Schedule for Special Session on the Modern Schubert Calculus ______________________________________________________________ Saturday Morning: 9:00 - 9:20 GKM spaces with non-isolated fixed points. Victor Guillemin, vwg@math.mit.edu 9:30 - 9:50 Schur and Schubert polynomials are Thom polynomials. Richard Rimanyi, rimanyi@math.ohio-state.edu 10:00 - 10:20 Schubert Calculus on Bott-Samelson Manifolds. Rebecca Goldin, rgoldin@gmu.edu 10:30 - 10:50 Polynomials associated to Bott-Samelson resolutions and torsion in intersection cohomology. Tom Braden, braden@math.umass.edu Saturday Afternoon: 2:30 - 2:50 Geometric proofs of Horn and Saturation conjectures. Prakash Belkale, belkale@email.unc.edu 3:00 - 3:20 A Vanishing and a Non-Vanishing Criterion for Schubert Calculus on $G/B$. Kevin Purbhoo, kpurbhoo@math.berkeley.edu 3:30 - 3:50 Divided differences and spaces of subwords. Catalin Zara, zara@math.yale.edu 4:00 - 4:20 Schubert Calculus over Free Skew-fields. Vladimir Retakh, vretakh@math.rutgers.edu 4:30 - 4:50 Degenerating Schubert varieties to unions of toric varieties associated to rc-graphs. Mikhail Kogan, misha@research.neu.edu 5:00 - 5:20 Positivity of quiver cycles via deformation. Ezra Miller, ezra@math.mit.edu Sunday Morning: 9:00 - 9:20 A Schubert calculus recurrence from the noncomplex $W$-action on $G/B$. Allen Knutson, allenk@math.berkeley.edu 9:30 - 9:50 Grothendieck Polynomials via Permutation Patterns and Chains in the Bruhat Order. Shawn Robinson, shawnr@math.rutgers.edu 10:00 - 10:20 Schubert Class formulas. Alexander Yong, ayong@umich.edu 10:30 - 10:50 Multiplication Formulas in the Grothendieck Ring of a Flag Variety. Cristian P. Lenart, lenart@csc.albany.edu Sunday afternoon: 2:00 - 2:20 Polynomial representatives of Schubert classes in $QH^(G/B)$. Liviu Mare, amare@math.toronto.edu 2:30 - 2:50 A Pieri formula for universal Schubert polynomials. Linda Chen, lchen@math.columbia.edu 3:00 - 3:20 The Peterson variety and total positivity. Konstanze Rietsch, rietsch@maths.ox.ac.uk 3:30 - 3:50 Symmetries in quantum Schubert calculus. Harald Hengelbrock, harald.hengelbrock@ruhr-uni-bochum.de 4:00 - 4:20 Quantum Bruhat graph and Schubert polynomials. Alex Postnikov apost@math.mit.edu 4:30 - 4:50 Gromov-Witten invariants on Grassmannians. Harry Tamvakis, harryt@brandeis.edu