[geometry-ml:02160] 2014年度第2回明治大学幾何セミナーのお知らせ

[吉田尚彦]

皆様

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2014年度第2回目の明治大学幾何セミナーを以下の要領で開催致しますのでお知らせ致します．

日程：10月23日（木）16:30 -18:00
場所：明治大学生田キャンパス第二校舎6号館6718

講演者：原田 芽ぐみ氏（McMaster University & 大阪市立大学）
題目：*Newton-Okounkov bodies, representation theory, and Bott-Samelson
varieties*
概要：The theory of Newton-Okounkov bodies is a far-reaching generalization of
the theory of toric varieties. In particular, it can associate to any
complex projective variety X a convex body (which is a rational polytope in
many cases) of dimension equal to the complex dimension of X; in the case
when X is a toric variety, the convex body is exactly the usual Newton
polytope. Moreover, in a recent paper, Kaveh showed that the string
polytopes in geometric representation theory are special cases of
Newton-Okounkov bodies associated to flag varieties G/B. Hence the theory
of Newton-Okounkov bodies is naturally related to many interesting
questions in representation theory and Schubert calculus. The Bott-Samelson
varieties give resolutions of singularities of Schubert varieties and are
central in the study of the geometry of G/B. I will give an overview of
this subject in relation to Newton-Okounkov bodies and discuss some recent
and ongoing work, as well as some open questions.

興味を持たれそうな方がおられましたら周知していただけますと幸いです．皆様のご参加をお待ちしております．
幾何セミナーのURL: http://www.isc.meiji.ac.jp/~takahiko/GeometrySeminar/index.html

吉田尚彦
明治大学理工学部数学科
Takahiko Yoshida
Department of Mathematics
School of Science and Technology
Meiji University

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