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Конференция "Молодежный забег МЦМУ МИАН"
13 марта 2023 г. 12:50, г. Москва, Математический институт им. В.А. Стеклова РАН, конференц-зал, 9 этаж


$SU$-linear operations and $c_1$-spherical bordism theory

G. S. Chernykh



Аннотация: The $c_1$-spherical bordism theory $W^*$ is an intermediate theory between complex and $SU$-bordisms and it plays an important role in calculations of the $SU$-bordism coefficient ring. There is no natural choice of multiplication on the theory $W^*$ (since a direct product of two $c_1$-spherical manifolds doesn't have to be $c_1$-spherical). However, it turns out that the theory $W^*$ is a direct summand in complex cobordism theory $MU^*$, and one can define a multiplication on $W^*$ via projections. I will talk about $SU$-linear projections and multiplications on the theory $W^*$, as well as complex orientations of this theory, corresponding formal group laws and its Landweber exactness.

Язык доклада: английский


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