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The Prime Decomposition Theorem for 3-Manifolds
Abstract
A 3-manifold is a space which locally looks like R^3. A major theme in 3-manifold Topology is to understand and classify 3-manifolds. Given two compact 3-manifolds M_1,M_2 we can form another 3-manifold by taking what’s called the “connect sum” of M_1 and M_2. Under this operation, 3-manifolds can be decomposed uniquely into prime pieces just like the integers can be decomposed uniquely as a product of primes. We will discuss this prime decomposition theorem for 3-manifolds while also giving a wide variety of examples.
16:00
A FBSDE construction of the sine-Gordon EQFT
Abstract
I will present a construction and characterization of the (massive) sine-Gordon EQFT up to 6π in the full space. The construction relies on a systematic study of the renormalization flow equation and a forward backward stochastic differential equation (FBSDE) which give good control of the EQFT and allows to derive various additional properties.
This is based on joint work with Massimiliano Gubinelli.