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Uniformization of semistable bundles...

Li, Penghui.

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Uniformization of semistable bundles on elliptic curves.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Uniformization of semistable bundles on elliptic curves./
作者:	Li, Penghui.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:	63 p.
附註:	Source: Dissertation Abstracts International, Volume: 78-03(E), Section: B.
Contained By:	Dissertation Abstracts International78-03B(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10150853
ISBN:	9781369056181

Uniformization of semistable bundles on elliptic curves.
Li, Penghui.

Uniformization of semistable bundles on elliptic curves. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 63 p.

Source: Dissertation Abstracts International, Volume: 78-03(E), Section: B.

Thesis (Ph.D.)--University of California, Berkeley, 2016.

Let G be a connected reductive complex algebraic group, and E a complex elliptic curve. Let GE denote the connected component of the trivial bundle in the stack of semistable G-bundles on E. We introduce a complex analytic uniformization of GE by adjoint quotients of reductive subgroups of the loop group of G. This can be viewed as a nonabelian version of the classical complex analytic uniformization E&sime; C*/qZ. We similarly construct a complex analytic uniformization of G itself via the exponential map, providing a nonabelian version of the standard isomorphism C* &sime; C/Z, and a complex analytic uniformization of GE generalizing the standard presentation E = C/(Z &oplus; Ztau). Finally, we apply these results to the study of sheaves with nilpotent singular support.

ISBN: 9781369056181Subjects--Topical Terms:

515831
Mathematics.

Uniformization of semistable bundles on elliptic curves.
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520 $a Let G be a connected reductive complex algebraic group, and E a complex elliptic curve. Let GE denote the connected component of the trivial bundle in the stack of semistable G-bundles on E. We introduce a complex analytic uniformization of GE by adjoint quotients of reductive subgroups of the loop group of G. This can be viewed as a nonabelian version of the classical complex analytic uniformization E&sime; C*/qZ. We similarly construct a complex analytic uniformization of G itself via the exponential map, providing a nonabelian version of the standard isomorphism C* &sime; C/Z, and a complex analytic uniformization of GE generalizing the standard presentation E = C/(Z &oplus; Ztau). Finally, we apply these results to the study of sheaves with nilpotent singular support.
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