In the beginning of my talk I will review some general facts about
3d-3d correspondence and describe how to construct 3d theory T[M_3]
associated to a Seifert 3-manifold M_3. Then I will show how one
can calculate the Casson-Walker invariant of M_3...
(Building on work by Sachdev, Ye, Parcollet and Georges) Kitaev
has proposed a simple quantum mechanical model as a dual to an
AdS_2 black hole. It would be nice to understand the bulk theory.
(Is it local? Is there randomness? How is conformal...
Euclidean wormholes are simple solutions such as the one
discussed in
the attached paper by Giddings and Strominger. (see email)
You can also have a look at the attached paper by Coleman.
You can also look at http://arxiv.org/abs/0705.2768
and find...
I will survey some properties of the 6d (2,0) theories that can
be determined using only their symmetries. In particular, I will
discuss their anomalies, moduli spaces, ADE classification, and the
relation to 5d super Yang-Mills.
I will introduce polynomial congruences and indicate why number
theorists might care about them. I will then describe reciprocity
laws which predict the number of solutions to a polynomial
congruence in terms of discrete subgroups of Lie groups. The...