A reminder: this is today.
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On 2025-05-11 22:27, Mykhaylo Tyomkyn wrote:
Dear all,
There will be a noon seminar this Thursday, 15 May, given by Igor Kříž. Please find the talk details below.
Best regards, Misha Tyomkyn.
Recent progress in cobordism theory Igor Kříž University of Michigan May 15, 2025, 12:20 in S6
Abstract Cobordism is a basic tool for the classification of manifolds (i.e. topological spaces locally homeomorphic to a Euclidean space). Early success in calculating several variants of cobordism by Thom, Milnor, Novikov and others in the 1950's-1960's became one of the starting points of modern algebraic topology. Among one of the most well-known cases still not solved is symplectic cobordism. I will discuss a precursor to that theory, called self-conjugate cobordism, which was recently solved in a joint paper by myself, Po Hu, Petr Somberg, and Benjamin Riley. The solution is in the form of the homology of a particular chain complex, which, while explicitly algorithmic, is very difficult to carry out computationally. I will briefly describe this complex, with an emphasis on highlighting some gaping omissions in existing computer algebra systems, addressing which would greatly advance practical computations such as the present one.
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