Nilpotent Orbits and Representation Theory

Newton-Okounkov polytopes of flag varieties

speaker: Valentina Kiritchenko (Higher School of Economics, Moscow)

abstract: Theory of Newton-Okounkov convex bodies leads to a fruitful interaction between representation theory and convex geometry. Recently, several families of polytopes from representation theory such as string polytopes were exhibited as Newton-Okounkov polytopes of flag varieties forvarious valuations. In my talk, I will recall a construction of Newton-Okounkov convex bodies and survey its applications to representation theory and geometry of flag varieties. In particular, I will explain how Feigin-Fourier-Littelmann-Vinberg polytopes can be obtained in a very simple way as Newton-Okounkov polytopes for a natural geometric valuation.

timetable:
Wed 15 Jun, 16:15 - 17:30, Aula Bianchi Scienze
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