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Moduli spaces of parabolic connections, parabolic bundles and Geometric Langlands Saito, Masa-Hiko
Description
Moduli spaces of stable parabolic connections on curves are very interesting objects which are related to different area of mathematics like algebraic geometry, integrable systems, mathematical physics and Geometric Langlands conjecture. In this lecture, we will explain about an explicit geometry of the moduli spaces of stable parabolic connections on curves introduced and constructed by Inaba, Iwasaki and Saito and Inaba. Then we will review a work of Arinkin and Lysenko on a rank 2 connections on the projective line with 4 singular points, which is related to Geometric Langlands conjecture in this case. We then explain about the joint work on the moduli space of rank 2 parabolic bundles on the projective line with Simpson and Loray. If time permits, related works of Geometric Langlands conjecture in these cases may be discussed.
Item Metadata
Title |
Moduli spaces of parabolic connections, parabolic bundles and Geometric Langlands
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-09-13T09:00
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Description |
Moduli spaces of stable parabolic connections on curves are very
interesting objects which are related to different area of mathematics
like algebraic geometry, integrable systems, mathematical physics and
Geometric Langlands conjecture. In this lecture, we will explain about an
explicit geometry of the moduli spaces of stable parabolic connections on
curves introduced and
constructed by Inaba, Iwasaki and Saito and Inaba. Then we will review
a work of Arinkin and Lysenko on a rank 2 connections on the projective
line with 4 singular points, which is related to Geometric Langlands
conjecture in this case. We then explain about the joint work on the
moduli space of rank 2 parabolic bundles on the projective line with
Simpson and Loray. If
time permits, related works of Geometric Langlands conjecture in these
cases may be discussed.
|
Extent |
71.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Kobe University
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Series | |
Date Available |
2019-04-02
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0377740
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International