From: ohnita
Subject: Jason Lotay 氏特別講義（ OCAMI 微分幾何学セミナー）
皆様
東北大学での国際小研究集会「特殊幾何と極小部分多様体」
http://www.math.tohoku.ac.jp/meetings/sgms/
に続きまして、
大阪市立大学数学研究所 微分幾何学セミナー
http://www.sci.osaka-cu.ac.jp/math/OCAMI/DG_Seminar/DG_index.html#Differential_Geometry_Seminar
において、下記のような、Jason Lotay 氏による特別講義を企画します。
ご関心のある方は、奮ってご参加ください。
尚、本企画は、阪大理・後藤竜司教授との協力のもと実施します。
大仁田義裕
〒558-8585 大阪市住吉区杉本3-3-138
大阪市立大学理学研究科数学教室
&大阪市立大学数学研究所
TEL 06-6605-2617（研究室）
e-mail: ohnita at sci.osaka-cu.ac.jp
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*講演者： Jason Lotay 氏 (Univ. College London)*
*
**日時： 2013年8月12日（月） (1) 1:30-2:30 (2) 4:00-5:00*
*場所： 大阪市立大学理学研究科 数学教室 共通研究棟3階 数学講究室 (301室)*
*《プログラム》*
1:30-2:30 Coassociative conifolds 1: smoothings of cones
4:00-5:00 Coassociative conifolds 2: singularities and stability
*《概要》*
Coassociative conifolds 1: smoothings of cones
Coassociative 4-folds are important examples of calibrated, hence
volume-minimizing, submanifolds and are inherently related to Riemannian
manifolds with exceptional holonomy group G_2. In this first talk, I
will discuss the theory of asymptotically conical coassociative 4-folds,
which are smoothings of coassociative cones, including describing their
moduli space of deformations. These submanifolds are particularly
important for providing local models for resolving singular
coassociative 4-folds.
Coassociative conifolds 2: singularities and stability
Singular coassociative 4-folds help us to understand the boundary of the
moduli space of smooth coassociative 4-folds and are important from the
point of view coassociative fibrations of compact G_2 manifolds. One of
the simplest models of a singularity is given by a cone. In this second
talk, I will discuss the theory of coassociative conical singularities,
with a particular focus on the role of a numerical invariant associated
to coassociative cones called the stability index.
皆様
東北大学での国際小研究集会「特殊幾何と極小部分多様体」
大仁田義裕
〒558-8585 大阪市住吉区杉本3-3-138
大阪市立大学理学研究科数学教室
&大阪市立大学数学研究所
TEL 06-6605-2617（研究室）
e-mail: ohnita at sci.osaka-cu.ac.jp
％％％％％％％％％％％％％％％％％％％％％％％％％％％％％％％％％％％
講演者： Jason Lotay 氏 (Univ. College London)
日時： 2013年8月12日（月） (1) 1:30-2:30 (2) 4:00-5:00
場所： 大阪市立大学理学研究科 数学教室 共通研究棟3階 数学講究室 (301室)
《プログラム》
1:30-2:30 Coassociative conifolds 1: smoothings of cones
4:00-5:00 Coassociative conifolds 2: singularities and stability
《概要》
Coassociative conifolds 1: smoothings of cones
Coassociative 4-folds are important examples of calibrated, hence
volume-minimizing, submanifolds and are inherently related to
Riemannian manifolds with exceptional holonomy group G_2. In this
first talk, I will discuss the theory of asymptotically conical
coassociative 4-folds, which are smoothings of coassociative cones,
including describing their moduli space of deformations. These
submanifolds are particularly important for providing local models
for resolving singular coassociative 4-folds.
Coassociative conifolds 2: singularities and stability
Singular coassociative 4-folds help us to understand the boundary of
the moduli space of smooth coassociative 4-folds and are important
from the point of view coassociative fibrations of compact G_2
manifolds. One of the simplest models of a singularity is given by
a cone. In this second talk, I will discuss the theory of
coassociative conical singularities, with a particular focus on the
role of a numerical invariant associated to coassociative cones
called the stability index.