I will describe an inductive algorithm computing Gromov-Witten invariants in all genera with arbitrary insertions of all smooth complete intersections in projective space. The main idea is to show that...
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When are two mathematical functions the same? One might think that this can be generally answered immediately from their definitions. However, functions may have numerous dissimilar alternative definitions. Fortunately, sameness...
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It is well-known that each cohomology group of a compact K\"ahler manifold carries a Hodge structure. If we consider a degeneration of compact K\”ahler manifolds over a disk then it...
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From each point of a Poisson point process start growing a balloon at rate 1. When two balloons touch, they pop and disappear. Will balloons reach the origin infinitely often...
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*Note special time* Title and Abstract TBA ----- Subscribe to Harvard CMSA seminar videos (more to be uploaded): https://www.youtube.com/channel/UCBmPO-OK1sa8T1oX_9aVhAg/playlists https://www.youtube.com/channel/UCM06KiUOw1vRrmvD8U274Ww https://harvard.zoom.us/j/977347126 Password: cmsa
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We use topological methods to solve special cases of a fundamental problem in group theory, the Kervaire conjecture. The conjecture asserts that, for any nontrivial group G and any element...
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*Note special time* Title and Abstract TBA ----- Subscribe to Harvard CMSA seminar videos (more to be uploaded): https://www.youtube.com/channel/UCBmPO-OK1sa8T1oX_9aVhAg/playlists https://www.youtube.com/channel/UCM06KiUOw1vRrmvD8U274Ww https://harvard.zoom.us/j/977347126 Password: cmsa
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Active crystals are highly ordered structures that emerge from the nonequilibrium self-organization of motile objects, and have been widely studied in synthetic and bacterial active matter. In this talk, I...
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Many combinatorial objects can be thought of as a hypergraph decomposition, i.e. a partition of (the edge set of) one hypergraph into (the edge sets of) copies of some other...
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A phenomenon underlying many remarkable results in number theory is the natural Galois action on the cohomology of symplectic groups of integers. In joint work with Soren Galatius and Akshay...
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