Osaka City University Advanced Mathematical Institute
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Department of Mathematics and Physics
Graduate School of Science
Osaka City University
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Speaker |
:Liron Speyer(Osaka University) |
Title |
:Kleshchev's decomposition numbers for cyclotomic Hecke algebras |
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(Abstract) |
Date |
:November 9 (Mon.) 18:00~19:30 |
Place |
:Osaka City University Academic Extension Center |
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Top |
Speaker |
:Takuma Aihara(Tokyo Gakugei University) |
Title |
:準傾連結三角圏 |
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(Abstract) |
Date |
:October 5 (Mon.) 18:00~19:30 |
Place |
:Osaka City University Academic Extension Center |
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Top |
Speaker |
:Tomoyuki Arakawa (Kyoto University) |
Title |
:Joseph ideal and lisse minimal W-algebras |
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(Abstract)
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Date |
:July 27 (Mon.) 18:00~19:30 |
Place |
:Osaka City University Academic Extension Center |
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Top |
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Speaker: |
Liron Speyer(Osaka University) |
Title: |
Kleshchev's decomposition numbers for cyclotomic Hecke algebras |
I will present recent joint work with Chris Bowman in which we calculate decomposition numbers for cyclotomic Hecke algebras.
I will introduce the combinatorics underlying Webster's diagrammatic Cherednik algebra and its cellular structure, and discuss how we used isomorphisms between
different subquotients to generalise the results of Chuang, Kleshchev,Miyachi, Tan and Teo on decomposition numbers. Our results on graded decomposition numbers
take these level 1 results into higher levels and beyond (applying to many different labellings of simple modules), and apply over fields of arbitrary characteristic.
Speaker: |
Takuma Aihara(Tokyo Gakugei University) |
Title: |
準傾連結三角圏 |
導来圏などの三角圏は、準傾対象によってその構造がコントロールされる。そのような重要な対象を得る方法として、準傾変異が挙げられる。準傾変異は、1つの準傾対象からもう1つの別の準傾対象を構成するものであり、いつでも可能なため、無数に多くの準傾対象をもたらす。自然な疑問として、「準傾変異によって、すべての準傾対象を得られるか?」が挙げられる。本講演では、この疑問に関連する最近の話題を紹介する。
Speaker: |
Tomoyuki Arakawa (Kyoto University) |
Title: |
Joseph ideal and lisse minimal W-algebras |
We consider a lifting of Joseph ideals for the minimal nilpotent orbit
closure to the setting of affine Kac-Moody algebras and find new examples
of affine vertex algebras whose associated varieties are minimal nilpotent
orbit closures. As an application we obtain a new family of lisse (C_2-cofinite)
W-algebras that are not coming from admissible representations of affine
Kac-Moody algebras. This is a joint work with Anne Moreau, and is motivated
by a recent work of Kawasetsu.
Last Modified on September 28, 2015.
All Rights Reserved, Copyright (c) 2003-2005 Department of Mathematics, OCU |