The topics discussed will be interdisciplinary, and involve significant interaction between mathematics and physics. In fact, this is probably the field in which there is greatest interaction between mathematicians and physicists. Relevant topics include supersymmetry, conformal, complex, and algebraic geometry, mirror symmetry, topology, and index theory. For the general philosophy of RITs, see here.
As agreed at the organizational meeting on September 11, we will begin with five introductory lectures on topics that are of interest to many of the participants. These will be at a very general level, aimed at non-experts. After that, we may have groups report on some of these areas in greater depth.
|Sept. 18||Jim Gates, PHYS||Introduction to supersymmetry|
|Sept. 25||Jonathan Rosenberg, MATH||The mathematical structure of string dualities|
|Oct. 2||No meeting because of Yom Kippur|
|Oct. 9||Dan Chapman, PHYS, Stefan Mendez-Diez, AMSC, and Isaac Chappell, PHYS||Introduction to conformal field theory|
|Oct. 16||Willie Merrell, PHYS||The Virasoro algebra and its connection with conformal field theory|
|Oct. 23||Ashwin Pande, MATH||Introduction to noncommutative geometry|
|Oct. 30||Greg Landweber, University of Oregon||The mathematics of off-shell supersymmetry|
|Nov. 6||Jim Gates, PHYS||Topological solitons|
|Nov. 13||Calder Daenzer, University of Pennsylvania||What are gerbes and why are they useful in physics?|
|Nov. 20||Dan Chapman and Stefan Mendez-Diez||The Wess-Zumino-Witten-Novikov model|
|Nov. 27||Dan Chapman and Stefan Mendez-Diez||The Wess-Zumino-Witten-Novikov model (cont'd)|
|Dec. 4||Shane McCarthy, PHYS||What are Calabi-Yau manifolds and what are they good for?|
|Dec. 11||end of semester discussion|
The topic for Spring 2007 will be an introduction to mirror symmetry, following parts of Mirror Symmetry, by Vafa, Zaslow et al. We will begin with Ch. 12 and Ch. 16, then move on to Ch. 20, filling in missing backround as needed.
|Jan. 29||organizational meeting|
|Feb. 5||Willie Merrell||Noether charges and currents|
Note switch to Wed.
|Feb. 21||Jonathan Rosenberg||Introduction to mirror symmetry for Calabi-Yaus|
|Feb. 28||Willie Merrell||Noether charges and currents, cont'd|
|Mar. 7||Ashwin Pande||A and B Twists|
|Mar. 14||Ashwin Pande||A and B Twists, cont'd|
For those who want to participate, here is some suggested background.