IGA/AMSI WORKSHOP

GEOMETRY OF SUPERMANIFOLDS


15-19 OCTOBER 2012


Venue: Conference Room 7.15, Level 7, Ingkarni Wardli (see on the map)

Conference Poster

Lectures by Ugo Bruzzo (International School for Advanced Studies, SISSA)


Short biography
Professor Ugo Bruzzo has been a Professor of Geometry at the prestigious International School for Advanced Studies (SISSA), Trieste, since 2003. He obtained his doctorate Cum Laude from University of Genova in 1979 and was subsequently a research fellow of the Italian Research Council. He has held visiting positions at Princeton University (1984), Universite Paris VII (2000) and the Tata Institute of Fundamental Research (2006) among others. He has been the executive editor of the Journal of Geometry and Physics since 2003, and the editor of Rendiconti dell'Istituto di Matematica dell'Universita di Trieste since 2008. Professor Bruzzo is one of the leading researchers in the geometry of supermanifolds, with more than 60 scientific papers in refereed journals, 30 proceedings reports and 30 additional publications. He is also the co-author of two very popular books, ``The Geometry of Supermanifolds" and ``Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics".


Abstract
The first lecture will be devoted to give some necessary background: graded algebra, sheaf theory, cohomology. This will most likely extend to the second lecture. Then I will give an introduction to the different possible approaches to defining super manifolds. Between the second and third lecture I will develop the basic geometry of supermanifolds, including some theory of super vector bundles. The fourth lecture will be devoted to super Riemann surfaces. In the fifth lecture I will give an example of an application of supermanifold theory to physics, i.e., how to "superize" the moduli space of instantons on a 4-fold and use it to give a description of the BRST transformations, to compute the "supermeasure" of the moduli space, and the Nekrasov partition function.

Titles of individual lectures
  • Lecture 1: Background: graded algebras, sheaf theory, cohomology

  • Lecture 2: Categories of supermanifolds

  • Lecture 3: Geometry of supermanifolds

  • Lecture 4: Super Riemann surfaces

  • Lecture 5: Applications to physics

    • Colloquium

    Professor Bruzzo will also give a colloquium talk on Friday 19 October at 3 pm in room B.20, Ingkarni Wardli. The title of the talk is Moduli spaces of instantons in algebraic geometry and physics.


    Invited Speakers

    Tarje Bargheer (University of Melbourne)

    Kowshik Bettadapura (Australian National University)

    Peter Hochs (Leibniz University, Hannover)

    David Ridout (Australian National University)


    Titles and Abstracts

    Schedule and Slides

    Photo 1
    Photo 2


    Registration

    There will be no registration fees: all are welcome. However, if you are interested in attending, kindly send an e-mail to Pedram Hekmati by 14 September 2012, with the following information:

  • Name
  • Position and Affiliation
  • E-mail

    • Please also indicate in your e-mail whether you would like to attend the workshop dinner (Tuesday evening, 16 October), which will be $5 per person.

    Funding

    This event is co-sponsored by the Australian Mathematical Sciences Institute (AMSI). AMSI allocates a travel allowance to each of its member universities (for a list of members, click here). Students or Early Career Researchers from AMSI member universities without access to a suitable research grant or other source of funding may apply to their Head of Mathematical Sciences for subsidy of travel and accommodation out of the departmental travel allowance. No other funding is available.

    Accommodation

    Participants, other than the invited speakers, are asked to make their own travel and accommodation arrangements. For a list of budget hotels in Adelaide, please click here.

    Internet Access

    The University of Adelaide provides wireless access for visitors whose home institutions have eduroam. For more information on how to set up eduroam, please click here.


    Local Information for Visitors

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    • Organisers

    Mathai Varghese
    School of Mathematical Sciences
    University of Adelaide
    North Terrace, Adelaide, SA 5005

    Phone: (08) 8303 4173
    Fax: (08) 8303 3696
    E-mail: mathai.varghese@adelaide.edu.au     		Pedram Hekmati
    School of Mathematical Sciences
    University of Adelaide
    North Terrace, Adelaide, SA 5005

    Phone: (08) 8303 5261
    Fax: (08) 8303 3696
    E-mail: pedram.hekmati@adelaide.edu.au     		Peter Bouwknegt
    Department of Theoretical Physics
    Research School of Physics and
    Engineering and Department of Mathematics
    Mathematical Sciences Institute
    Australian National University
    Canberra, ACT 0200

    Phone: (02) 6125 2969
    Fax: (02) 6125 4676
    E-mail: peter.bouwknegt@anu.edu.au


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