[geometry-ml:03447] 信州トポロジーセミナー (30-5)

[Keiichi Sakai]

皆様

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信州大学理学部 数学科（松本キャンパス）では、
不定期で信州トポロジーセミナーを開催しています。
下記のように、本年度第5回の信州トポロジーセミナーが開催されます。
（過去の記録につきましては、下記URLをご覧ください）

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■ 2018年8月24日（金）16:30～18:00 ■
題目：Homotopy theory of gauge groups over high dimensional closed manifolds
講演者：Ruizhi Huang 氏 (Chinese Academy of Science)
会場：理学部 A 棟 4 階 数理攻究室 (A-427)
概要：
The homotopy types of gauge groups have been investigated by many 
experts in the latest twenty years.
So far the works mainly focus on bundles over 4-dimensional manifolds, 
the gauge theory of which play a crucial role in Donaldson's theory.
In this talk, we will study the homotopy theory of gauge groups over 
higher dimensional manifolds.
For instance, we will study the gauge groups over (n-1)-connected 
2n-manifolds, the classification of which was determined by Wall and 
Freedman.
We will further investigate other 2n-manifolds and sphere bundles as 
well based on the work of James and Whitehead.
For dimension 5 which is the first high dimension (in the sense, for 
instance, of surgery theory), we will study gauge groups over 
non-simply-connected 5-manifolds, where the fundamental groups play a role.
We will show many homotopy decompositions of gauge groups under the 
mentioned cases.
The methods also valid for rational cases, and reveal periodicity of 
homotopy groups of gauge groups as well.

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Date: 24 Aug 2018, 16:30-18:00
Title: Homotopy theory of gauge groups over high dimensional closed 
manifolds
Speaker: Ruizhi Huang (Chinese Academy of Science)
Room: A-427, Faculty of Science, Shinshu University
Abstract: as above

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情報の更新はメールまたは下記 web ページにてお知らせいたします。

http://math.shinshu-u.ac.jp/~topology/seminar/

信州トポロジーセミナーでは、講演者を随時募集しております。
自薦・他薦ありましたら、ぜひお知らせください。
よろしくお願いいたします。

-- 
境 圭一
ksakai ＠ math.shinshu-u.ac.jp