The University of Adelaide
You are here » Home » News and events
Text size: S | M | L
Printer Friendly Version
June 2018
MTWTFSS
    123
45678910
11121314151617
18192021222324
252627282930 
       

Events on Friday 15 June 2018

Hitchin's Projectively Flat Connection for the Moduli Space of Higgs Bundles
13:10 Fri 15 Jun, 2018 :: Barr Smith South Polygon Lecture theatre :: John McCarthy :: University of Adelaide

In this talk I will discuss the problem of geometrically quantizing the moduli space of Higgs bundles on a compact Riemann surface using Kahler polarisations. I will begin by introducing geometric quantization via Kahler polarisations for compact manifolds, leading up to the definition of a Hitchin connection as stated by Andersen. I will then describe the moduli spaces of stable bundles and Higgs bundles over a compact Riemann surface, and discuss their properties. The problem of geometrically quantizing the moduli space of stables bundles, a compact space, was solved independently by Hitchin and Axelrod, Del PIetra, and Witten. The Higgs moduli space is non-compact and therefore the techniques used do not apply, but carries an action of C*. I will finish the talk by discussing the problem of finding a Hitchin connection that preserves this C* action. Such a connection exists in the case of Higgs line bundles, and I will comment on the difficulties in higher rank.
Recent news
Further enquiries

School of
Mathematical Sciences

Levels 6 and 7
Ingkarni Wardli Building
North Terrace Campus
The University of Adelaide
SA 5005 Australia


See location on map


General email
Head of School email
Telephone: +61 8 8313 5407
Facsimile: +61 8 8313 3696