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2008年度の記録

 


●セミナー
日時:324(火) 15:00-16:30

場所:理学部1号館455号室

講演者:佐藤 文敏氏(名大・多元)

タイトル:Relations in tautological ring via localization

 

<アブストラクト>
I will explain ways to obtain relations in tautological ring of moduli of curves via localization.  


● 修士論文発表会 その2

 1月26日(月)理I−455

 13:00-13:20 伊東 杏希子
  「二次体の類数の可除性について」
 13:30-13:50 竹内 信公
  「4次元以上のGorenstein Abel商特異点のクレパント解消について」
 14:00-14:20 斎藤 克典
  「ハミルトン系の可積分性とガロア理論」


● 博士論文公開審査セミナー
 1月26日(月) 10:30-12:00 理1−453
 講演者:瀧真語氏
 タイトル:On non-symplectic automorphisms of K3 surfaces
       (K3 曲面の非シンプレクティック自己同型について)
 


● 修士論文発表会 その1
 1月19日(月)理I−455

 13:00-13:20 杉山 倫
  「有限体上の単純正規交叉曲面の相互写像の核について」

 13:30-13:50 棚澤 大輔
  「楕円曲線の暗号理論への応用」
 14:00-14:20 真瀬 真樹子

 


● 12月22日(月) 理I-455
 13:00-14:30 金銅 誠之 氏(名大・多元数理)
 The moduli of plane quartics, G"oepel invariants, and Borcherds products

<金銅氏のアブストラクト>
10 years ago, I showed that the moduli space of plane quartics is birational to an arithmetic quotient of a 6-dimensional complex ball. In this talk, first I recall how to get the ball quotient and then show that there exists a 15-dimensional space of meromorphic automorphic forms on the complex ball. This space gives a birational embedding of the moduli space of plane quartics with level 2-structure into $\bbP^{14}$. This map coincides with the one given by Coble by using Goepel invariants.

☆ 12月8日(月)〜12月12日(金) 集中講義 川又 雄二郎 氏(東大・数理)


● 11月26日(水) 理I−309
 13:30-15:00 Alvaro Nolla de Celis 氏(Warwick, UK)
 Dihedral groups and G-Hilb

<Nolla de Celis氏のアブストラクト>
The special McKay correspondence states that the minimal resolution Y of the singular quotient C^2/G by a finite subgroup G in GL(2,C) is the G-invariant Hilbert scheme G-Hilb.  In this talk I will consider this correspondence when G is a binary dihedral group in GL(2,C), and explain how we can give an explicit description of G-Hilb via G-graphs and the moduli space M(Q,R) of stable representations of the McKay quiver.


● 11月17日(月) 理I-455
 13:00-14:30 安田 健彦 氏(鹿児島大)
 Noncommutative resolution via Frobenius morphisms and D-modules

<安田氏のアブストラクト>
We look at the isomorphism between the G-Hilbert scheme and the F-blowup from the viewpoint of noncommutative resolution due to Van den Bergh. In this context, the F-blowup becomes the moduli space of certain D- modules. Then the isomorphism is a consequence of the equivalence between the abelian categories of G-equivariant modules and D-modules. We also see that considering Frobenius morphisms and D-modules leads to noncommutative resolutions of analytically irreducible curve singularities and simple singularities of type $A_1$ as well as tame quotient singularities. The talk is based on my joint work with Yukinobu Toda.


● 11月10日(月) 理I-455
 13:00-14:30 瀧 真語 氏(名大・多元数理)
 Non-symplectic automorphisms of prime order on K3 surfaces

<瀧氏のアブストラクト>
We study non-symplectic automorphisms of prime order on algebraic $K3$ surfaces which act trivially on the N\'{e}ron-Severi lattice. In particular we shall characterize their fixed loci in terms of the invariants of $p$-elementary lattices.


★ 11月5日(水)〜11月7日(金)
研究集会「Algebraic Geometry in Positive Characteristics and Related Topics


● 10月27日(月) 理I-455
 13:00-14:30 長尾 健太郎 氏(京大・数理研)
 Counting invariants of perverse coherent sheaves and wall-crossings

<長尾氏のアブストラクト>
We intruduce framed moduli spaces of perverse coherent sheaves on small crepant resolutions of affine Calabi-Yau 3-folds and counting invariants of them. In order to construct a moduli space we should choose a parameter of stability. We show that Donaldson-Thomas theory and Pandharipande-Thomas theory can be recovered at specific parameters. We also establish wall-crossing formulas for the generating functions of counting invariants. As applications, we provide some formulas on DT invariants and PT invariants.


● 10月14日(火) 理I−452
 13:00-14:30 佐藤 文敏 氏(名大・多元数理)
 New topological recursion relations

<佐藤氏のアブストラクト>
Recently, several new topological recursion relations, which did not depend on the genus of the moduli, were found by two groups. One group is Liu-Pandharipande and the other group is Arcara-Ito-Sato. I will explain these new topological recusion relations.


● 10月6日(月) 理I-455
 13:00-14:30 佐藤 文敏 氏(名大・多元数理)
 The moduli space of curves and Gromov-Witten theory

<佐藤氏のアブストラクト>
I will give a survey talk on the moduli space of curves and Gromov-Witten theory.