Theoretical Statistics and Mathematics Unit

All upcoming Seminars and Colloquia


Title :Conformal field theory; vertex operator algebras and some problems
Speaker : Robin Hillier (Lancaster University)
Time : September 20, 2018 (Thursday), 03:30 PM
Venue : Auditorium
Abstract : The talk will start with an elementary introduction to conformal quantum field theory, its achievements and some of its mathematical ambiguities. There are mainly two frameworks to overcome those ambiguities, which are actually of independent interest -- one is called vertex operator algebras, the other one is called nets of von Neumann algebras. I will sketch how they arise and what they are good for. We will also look at examples and attempts of classification. The technical details shall be kept to a minimum.


Title :Vector-valued Tietze's extension theorem for compact domains-A geometric approach
Speaker : T.S.S.R.K. Rao (Indian Statistical Institute - Bangalore)
Time : September 27, 2018 (Thursday), 03:30 PM
Venue : Auditorium
Abstract : Let $\Omega$ be a compact Hausdorff space and let $E \subset \Omega$ be a closed subset. Let $X$ be a Banach space and let $C(\Omega,X)$ be the space of $X$-valued continuous functions on $\Omega$ equipped with the supremum norm. We first give a geometric proof of the known result, functions in $C(E,X)$ have norm preserving extensions in $C(\Omega,X)$. Let $K$ be a Compact Choquet simplex and let $A(K,X)$ denote the space of affine continuous functions on $K$, equipped with the supremum norm. We extend Tietze's theorem to compact sets contained in the extreme boundary of $K$.

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