McMullen, Curtis
Research Interests: Riemann surfaces, complex dynamics, hyperbolic geometry…
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Joint Harvard-CUHK-YMSC Differential Geometry Seminar: Elliptic chiral homology and chiral index
…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]. Zoom link: https://cuhk.zoom.us/j/99612299554 (Meeting ID:…
Harvard–MIT Algebraic Geometry: The period-index problem over the complex numbers
The period-index problem is a longstanding question about the complexity of Brauer classes over a field. I will discuss some Hodge-theoretic aspects of the problem for complex function fields, and…
CMSA Algebraic Geometry in String Theory Seminar: Gauss-Manin connection in disguise: Quasi Jacobi forms of index zero
…Hodge structure. Such a moduli space gives a natural algebro-geometric framework for higher genus quasi Jacobi forms of index zero and their differential equations which are given as vector fields….
Kuznetsov components of Fano threefolds of index 2 and moduli spaces
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…