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259
Speakers
Armen Sergeev (Steklov Mathematics Institute, Moscow)Kähler geometry of infinite-dimensional complex manifolds
In our talks we concentrate on three basic examples of infinite-dimensional Kähler manifolds:
1. loop spaces of compact Lie groups,
2. Hilbert-Schmidt Grassmannians,
3. Kähler manifolds of complex structures on loop spaces.
As we shall see, these manifolds are closely related to each other. They also play an important role in string theory.
Varghese Mathai (The University of Adelaide, Australia)
T-duality and topological insulators
1. New directions in the geometry of T-duality
I will briefly survey various new directions of research in geometric/topological T-duality. Then I will review the setting of T-duality for circle bundles with flux, and then discuss one of the new directions, namely spherical T-duality and argue that it is a duality in M-theory.
2. A mathematical approach to topological insulators and semimetals
I will discuss a mathematical approach to semimetals, that incorporates that of topological insulators. If time permits, I will outline the novel use of T-duality in this context.
