The derived category of a Fano threefold Y of Picard rank 1 and index 2 admits a semiorthogonal decomposition. This defines a non-trivial subcategory Ku(Y) called the Kuznetsov component, which…
…Atiyah-Singer Index Theorem can be used to show that certain smooth manifolds are not almost complex, focusing on the case of the twisted Dirac operator on spinor bundles on spheres….
…be viewed as the vertex algebra analogue of the trace map in algebraic index theory. The talk is based on the recent work arXiv:2112.14572 [math.QA]. For more information, please see:…
A common theme throughout mathematics is the search for “constructive” solutions to problems as opposed to mere existence results. For problems over R and other well-behaved spaces, this idea is…
I’ll introduce the higher-rank Donaldson–Thomas theory for toric Calabi–Yau threefolds, within the setting of equivariant K-theory. I’ll present a factorization conjecture motivated by Physics. As a byproduct, I’ll discuss some…