[geometry-ml:01032] Three talks in Kyoto, March 12th and 17th
So Okada
so.okada @ gmail.com
2010年 3月 5日 (金) 15:28:42 JST
こんにちは皆様、
今月の12日と17日に以下の講演が京都大学の代数幾何
セミナーと微分トポロジーセミナーで行われますので、
告知させていただきます(agmailの皆様には一部重複
失礼いたします)。
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Seminar: algebraic geometry seminar
Date: March 12
Place: Room 152, Building 3, Faculty of Science, Kyoto University
Time: 10:30 -- 12:00
Speaker: Thorsten Weist (Wuppertal)
Title: Localization in quiver moduli spaces
Abstract: Torus fixed points of quiver moduli spaces are given by
stable representations of the universal covering quiver. As far as the
Kronecker quiver is concerned they can be described by stable
representations of certain bipartite quivers coming along with a
stable colouring. By use of the glueing method it is possible to
construct a huge class of such quivers implying a lower bound for the
Euler characteristic. For certain roots it is even possible to
construct all torus fixed points. Moreover, for each root of the
generalized Kronecker quiver it is possible to construct
indecomposable tree modules of the Kronecker quiver.
Time:13:00 -- 14:30
Speaker: Jacopo Stoppa (Cambridge)
Title : Some higher-rank sheaves on Calabi-Yau threefolds and
Gromov-Witten invariants
Abstract: I will describe a correspondence between some special
Donaldson-Thomas invariants on a Calabi-Yau 3-fold (essentially
counting 0-dimensional perturbations of the trivial vector bundle of
arbitrary rank) and Gromov-Witten invariants counting rational curves
on blowups of a weighted projective plane. This correspondence extends
one found by Gross-Pandharipande where instead of sheaves one has
representations of Kronecker quivers.
URL Info:http://www.math.kyoto-u.ac.jp/~mhyo/agsem/agseminar.html
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Seminar: differential topology seminar
Date: March 17
Place: Room 305 in the Building No.3, Kyoto University
Time: 15:00-16:30.
Speaker: Jacopo Stoppa (Cambridge)
Title: On the algebro-geometric stability of extremal metrics
Abstract: I will start by recalling the most important notions of special
metrics in Kaehler geometry, such as constant scalar curvature and
extremal metrics. I will then give a brief account of some striking
results that relate the existence of such special metrics on
projective complex manifolds to notions of stability in algebraic
geometry (due to Yau, Tian, Donaldson, Futaki, Mabuchi and many
others). Finally I will describe joint work with G. Szekelyhidi where
we prove a version of stability in the extremal case, known as
relative K-stability (building on the works mentioned above and the
perturbation results of Arezzo-Pacard-Singer).
URL Info: http://www.math.kyoto-u.ac.jp/~sohta/seminar.html
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岡田 崇
GCOE PS Research Fellow
http://www.kurims.kyoto-u.ac.jp/~okada/
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