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Complex analysis and mathematical physics
December 8, 2015 16:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)
 


On the dimension of spaces of solutions of the noncommutative unitary sigma-model.

A. V. Domrin

Lomonosov Moscow State University

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Abstract: There is a long-standing conjecture that the complex dimension of the space of all solutions (of the model in the title) having normalized energy $e$, canonical rank $r$ and minimal uniton number $u$, is equal to $r$. We plan to give a proof of (a sharpened version of) this conjecture in the case when $u=2$ and discuss related topics.
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