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SUMMARY:Ryo Ohkawa (Waseda U.)
DTSTART:20200501T070000Z
DTEND:20200501T075000Z
DTSTAMP:20260422T225841Z
UID:MC-NITOC/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MC-NITOC/1/"
 >(-2) blow-up formula</a>\nby Ryo Ohkawa (Waseda U.) as part of Math Collo
 quium at NITOC\n\n\nAbstract\nWe prove functional equations of Nekrasov pa
 rtition functions for $A_{1}$-singularity\, suggested by Ito-Maruyoshi-Oku
 da. Furthermore\, we want to propose (-2) blow-up formula. We consider the
  minimal resolution of $A_{1}$ singularity\, the quotient stack of the pla
 ne by $\\lbrace \\pm 1 \\rbrace$\, and moduli spaces of framed sheaves on 
 them. Our formulas relate integrals over these moduli spaces for some case
 s. Our proof is given by the method by Nakajima-Yoshioka based on the theo
 ry of wall-crossing formula developed by Mochizuki. The presentation will 
 be in Japanese (slides will be in English).\n\nThe password of this zoom t
 alk will be provided shortly before the talk in the colloquium web page ht
 tps://so-okada.github.io/nitoc-math-colloquium.html\n
LOCATION:https://researchseminars.org/talk/MC-NITOC/1/
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BEGIN:VEVENT
SUMMARY:Rodrigo Gondim (Universidade Federal Rural de Pernambuco)
DTSTART:20210309T000000Z
DTEND:20210309T005000Z
DTSTAMP:20260422T225841Z
UID:MC-NITOC/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MC-NITOC/2/"
 >Waring problems and the Lefschetz properties</a>\nby Rodrigo Gondim (Univ
 ersidade Federal Rural de Pernambuco) as part of Math Colloquium at NITOC\
 n\n\nAbstract\nWe study three variations of the Waring problem for homogen
 eous polynomials\, concerning the Waring rank\, the border rank and the ca
 ctus rank of a form. We show how the Lefschetz properties of the associate
 d algebra affect them. The main tool is the theory of mixed Hessians and M
 acaulay-Matlis duality. We construct new families of wild forms\, that is\
 , forms whose cactus rank\, of schematic nature\, is bigger than the borde
 r rank\, defined geometrically. (Joint with T. Dias\, UFRPE)\n\nThe passco
 de of this zoom talk will be provided shortly before the talk in the collo
 quium web page https://so-okada.github.io/nitoc-math-colloquium.html#21\n
LOCATION:https://researchseminars.org/talk/MC-NITOC/2/
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BEGIN:VEVENT
SUMMARY:Yuta Takahashi (University of Tsukuba)
DTSTART:20210329T040000Z
DTEND:20210329T045000Z
DTSTAMP:20260422T225841Z
UID:MC-NITOC/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MC-NITOC/3/"
 >Geometric construction of quotients in supersymmetry</a>\nby Yuta Takahas
 hi (University of Tsukuba) as part of Math Colloquium at NITOC\n\n\nAbstra
 ct\n体上の代数群とその閉部分群に対し商スキームが得
 られるという古典的結果がある. この結果がより一般に
 スーパー対称性のもとで成立するかという問題が考え
 られるが\,この問題が我々の興味を引いたのはBrundanの
 論文による. Brundanは商スーパースキームの存在と\,その
 持つべき性質をリストアップして仮定した上でスーパ
 ー代数群の表現に関する注目すべき結果を残した. 本講
 演では直接的に底空間と構造層を記述することによる
 商スーパースキームの構成を紹介する. また\,この構成
 によりBrundanがリストアップした性質が満たされること
 も示された.\n\nThe passcode of this zoom talk will be provided shortl
 y before the talk in the colloquium web page https://so-okada.github.io/ni
 toc-math-colloquium.html#22\n
LOCATION:https://researchseminars.org/talk/MC-NITOC/3/
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