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| Monday 20 | |
| Tuesday 21 | |
| Wednesday 22 | 4:10 pm, room 1310. Topology & Group Theory Seminar. Mark Sapir, Vanderbilt University, Residual finiteness of 1-related groups. This is a joint work with A. Borisov and I. Kozakova. We prove that with probability tending to 1, a 1-relator group with at least 3 generators and the relator of length n is residually finite, virtually residually (finite p)-group for all sufficiently large p, and coherent. The proof uses both combinatorial group theory, non-trivial results about Brownian motions, and non-trivial algebraic geometry (and Galois theory). |
| Thursday 23 | |
| Friday 24 | 4:10-5:30 pm, room 1310. Subfactor Seminar. Junsheng Fang, Texas A&M University. The radial (Laplacian) masa in a free group factor is maximal injective. The radial (or Laplacian) masa in a free group factor is the abelian von Neumann algebra generated by the sum of the generators (of the free group) and their inverses. We prove that the Laplacian masa has an asymptotic orthogonality property and therefore is maximal injective in the free group factor. Combining with Popa's intertwining technique and our recent results of groupoid normalizers of tensor product von Neumann algebras, we are able to prove that the tensor product of a type I maximal injective von Neumann subalgebra which has the asymptotic orthogonality property with an arbitrary type I maximal injective von Neumann sublagebra is maximal injective. This is joint work with Jan Cameron, Mohan Ravichandran and Stuart White. |