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Geometry, Combinatorics and Integrable Systems Seminar - Leonardo Mihalcea

Geometry Combinatorics Integrable Systems Seminar
October 3, 2019
3:00PM - 4:00PM
Math Building 317

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Add to Calendar 2019-10-03 15:00:00 2019-10-03 16:00:00 Geometry, Combinatorics and Integrable Systems Seminar - Leonardo Mihalcea Title: Cotangent Schubert Calculus Speaker: Leonardo Mihalcea, Virginia Tech Abstract: A natural question with roots in representation theory and microlocal analysis is to find good analogues of Schubert classes in the intersection rings of the cotangent bundle of a flag manifold. One answer is given in terms of the characteristic classes of singular subvarieties in the flag manifold, such as the Chern-Schwartz-MacPherson classes (in cohomology) or motivic Chern classes (in K theory). I will give the definition of these classes, and I will discuss some (known or conjectural) properties of the transition matrix to the ordinary Schubert basis. Joint work with P. Aluffi, J. Schurmann, C. Su. Seminar URL: https://research.math.osu.edu/gcis/ Math Building 317 Department of Mathematics math@osu.edu America/New_York public

Title: Cotangent Schubert Calculus

Speaker: Leonardo Mihalcea, Virginia Tech

Abstract: A natural question with roots in representation theory and microlocal analysis is to find good analogues of Schubert classes in the intersection rings of the cotangent bundle of a flag manifold. One answer is given in terms of the characteristic classes of singular subvarieties in the flag manifold, such as the Chern-Schwartz-MacPherson classes (in cohomology) or motivic Chern classes (in K theory). I will give the definition of these classes, and I will discuss some (known or conjectural) properties of the transition matrix to the ordinary Schubert basis. Joint work with P. Aluffi, J. Schurmann, C. Su.

Seminar URL: https://research.math.osu.edu/gcis/

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