GEOMETRY OF SUPERMANIFOLDS
15-19 OCTOBER 2012
Conference Room 7.15, Level 7, Ingkarni Wardli
(see on the map
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".
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
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.
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
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:
Position and Affiliation
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.
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.
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.
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Local Information for Visitors
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