|Speaker:||Yuji Tachikawa (U Tokyo)|
|Title:||An introduction to Seiberg-Witten Theory for mathematicians|
|Date (JST):||Tue, Jun 05, 2012, 15:30 - 17:00|
======================== Plan of Lecture ============================
I'll give a mathematical introduction to physical Seiberg-Witten theory
(not the mathematical Seiberg-Witten theory in the sense of the study of
the moduli space of the monopole equation on a four-manifold). The
following topics will be discussed, roughly in the given order:
1. Data defining an "N=2 supersymmetric gauge theory"
2. General structure of the Donagi-Witten integrable system
3. Seiberg-Witten curves and Seiberg-Witten geometries
4. Detailed analysis of SU(2) with and without fundamental flavors
(You'll understand what are "fundamental flavors" by then)
5. Detailed analysis of SU(2) with an adjoint flavor
6. Detailed analysis of pure G theory
7. Some examples of more complicated Seiberg-Witten geometries
I try the lectures to be very informal, and welcome questions and
interruptions, especially by mathematicians.
Two existing lecture notes,
one by Donagi,
and another by Nakajima-Yoshioka,
might be useful for mathematicians to have.