MATHEMATICAL PICTURE LANGUAGE
April 6, 2021 10:00 amThe space spanned by homotopy classes of free oriented loops on a 2-manifold carries an interesting algebraic structure (a Lie bialgebra structure) due to Goldman and Turaev. This structure is...
Read more
MATHEMATICAL PICTURE LANGUAGE
April 6, 2021 10:00 amThe space spanned by homotopy classes of free oriented loops on a 2-manifold carries an interesting algebraic structure (a Lie bialgebra structure) due to Goldman and Turaev. This structure is...
Read more
MATHEMATICAL PICTURE LANGUAGE
March 30, 2021 10:00 amThe hyperfinite II1 factor contains a wealth of subfactors, many of which give rise to new and fascinating mathematical structures. For instance, the standard representation of a subfactor generates a...
Read more
MATHEMATICAL PICTURE LANGUAGE
March 23, 2021 10:00 amThe last two decades produced a substantial noncommutative (in the free algebra) real and complex algebraic geometry. The aim of this subject is to develop a systematic theory of equations...
Read more
MATHEMATICAL PICTURE LANGUAGE
March 16, 2021 10:00 amI will discuss recent developments at a new scientific interface between quantum optics, quantum many-body physics, information science and engineering. Specifically, I will focus on two examples at this interface...
Read more
MATHEMATICAL PICTURE LANGUAGE
March 9, 2021 10:00 amOne of the most fascinating aspects about non-commutative spaces (aka von Neumann algebras), is the way their building data, which is often geometric in nature, impacts on the properties of their...
Read more
MATHEMATICAL PICTURE LANGUAGE
March 2, 2021 10:00 amPolyakov introduced Liouville Conformal Field theory (LCFT) in 1981 as a way to put a naturalmeasure on the set of Riemannian metrics over a two dimensional manifold. Ever since, the work of Polyakov...
Read more
MATHEMATICAL PICTURE LANGUAGE
February 23, 2021 9:30 amBy developing high-performance quantum light sources, the multi-photon interference has been scaled up to implement Boson sampling with up to 76 photons out of a 100-mode interferometer, which yields a...
Read more
MATHEMATICAL PICTURE LANGUAGE
February 16, 2021 10:00 amConfusingly for the uninitiated, experts in infinite-dimensional category theory make use of different definitions of an ∞-category, and theorems in the ∞-categorical literature are often proven "analytically", in reference to...
Read more
MATHEMATICAL PICTURE LANGUAGE
February 9, 2021 10:00 amI will examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness. Having demonstrated the existence of the MBL phase at strong disorder, under a level-statistics...
Read more