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SUMMARY:Ryo Ohkawa (Waseda U.)
DTSTART:20200501T070000Z
DTEND:20200501T075000Z
DTSTAMP:20260404T094915Z
UID:MC-NITOC/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MC-NI
 TOC/1/">(-2) blow-up formula</a>\nby Ryo Ohkawa (Waseda U.) as part of Mat
 h Colloquium at NITOC\n\n\nAbstract\nWe prove functional equations of Nekr
 asov partition functions for $A_{1}$-singularity\, suggested by Ito-Maruyo
 shi-Okuda. Furthermore\, we want to propose (-2) blow-up formula. We consi
 der the minimal resolution of $A_{1}$ singularity\, the quotient stack of 
 the plane by $\\lbrace \\pm 1 \\rbrace$\, and moduli spaces of framed shea
 ves on them. Our formulas relate integrals over these moduli spaces for so
 me cases. Our proof is given by the method by Nakajima-Yoshioka based on t
 he theory of wall-crossing formula developed by Mochizuki. The presentatio
 n will be in Japanese (slides will be in English).\n\nThe password of this
  zoom talk will be provided shortly before the talk in the colloquium web 
 page https://so-okada.github.io/nitoc-math-colloquium.html\n
LOCATION:https://stable.researchseminars.org/talk/MC-NITOC/1/
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SUMMARY:Rodrigo Gondim (Universidade Federal Rural de Pernambuco)
DTSTART:20210309T000000Z
DTEND:20210309T005000Z
DTSTAMP:20260404T094915Z
UID:MC-NITOC/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MC-NI
 TOC/2/">Waring problems and the Lefschetz properties</a>\nby Rodrigo Gondi
 m (Universidade Federal Rural de Pernambuco) as part of Math Colloquium at
  NITOC\n\n\nAbstract\nWe study three variations of the Waring problem for 
 homogeneous polynomials\, concerning the Waring rank\, the border rank and
  the cactus rank of a form. We show how the Lefschetz properties of the as
 sociated algebra affect them. The main tool is the theory of mixed Hessian
 s and Macaulay-Matlis duality. We construct new families of wild forms\, t
 hat is\, forms whose cactus rank\, of schematic nature\, is bigger than th
 e border rank\, defined geometrically. (Joint with T. Dias\, UFRPE)\n\nThe
  passcode of this zoom talk will be provided shortly before the talk in th
 e colloquium web page https://so-okada.github.io/nitoc-math-colloquium.htm
 l#21\n
LOCATION:https://stable.researchseminars.org/talk/MC-NITOC/2/
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BEGIN:VEVENT
SUMMARY:Yuta Takahashi (University of Tsukuba)
DTSTART:20210329T040000Z
DTEND:20210329T045000Z
DTSTAMP:20260404T094915Z
UID:MC-NITOC/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MC-NI
 TOC/3/">Geometric construction of quotients in supersymmetry</a>\nby Yuta 
 Takahashi (University of Tsukuba) as part of Math Colloquium at NITOC\n\n\
 nAbstract\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Brunda
 n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 
 shortly before the talk in the colloquium web page https://so-okada.github
 .io/nitoc-math-colloquium.html#22\n
LOCATION:https://stable.researchseminars.org/talk/MC-NITOC/3/
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