ALGEBRAIC DYNAMICS, SEMINARS
March 30, 2023 4:00 pmLet f(z) be a rational function of degree d>1 over a field K (usually K=C(t) or K=Q), and let x_0 be a point in P^1(K). The Galois groups of the...
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SEMINARS, CMSA EVENTS
March 30, 2023 1:00 pmMorphogenesis, the process through which genes generate form, establishes tissue scale order as a template for constructing the complex shapes of the body plan. The extensive growth required to build...
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SEMINARS, HARVARD-MIT COMBINATORICS
March 29, 2023 4:15 pmStarting with a matroid M one can construct three important algebraic objects: the Chow ring, the augmented Chow ring and the intersection cohomology module. They play instrumental roles within the...
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SEMINARS, NUMBER THEORY
March 29, 2023 3:00 pmOrbits of many coregular representations of algebraic groups are closely linked to moduli spaces of genus one curves with extra data. We may use these orbit parametrizations to compute the...
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
March 28, 2023 9:30 amAbstract: A number of problems in analytic number theory can be reduced to showing that some related sequences are non-positive. In this direction a typical treatment is based on the...
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SEMINARS, HARVARD-MIT ALGEBRAIC GEOMETRY
March 28, 2023 3:00 pmJoint work with Madeline Brandt and Siddarth Kannan. We use moduli spaces of G-admissible covers and tropical geometry to give a sum-over-graphs formula for the weight-0 compactly supported Euler characteristic...
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SEMINARS, CMSA EVENTS
March 27, 2023 11:00 amTidal Love numbers describe the deformability of compact objects under the presence of external tidal perturbations, and are found to be exactly zero for black holes in pure General Relativity. ...
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Gauge Theory and Topology Seminar
March 24, 2023 3:30 pmA knot in the 3-sphere is said to be smoothly slice if it bounds a smoothly embedded disc in the 4-ball. Sliceness questions are closely related to interesting phenomena in 4-manifold topology:...
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SEMINARS, CMSA EVENTS
March 24, 2023 10:00 amThe holographic principle, theorized to be a property of quantum gravity, postulates that the description of a volume of space can be encoded on a lower-dimensional boundary. The anti-de Sitter...
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ALGEBRAIC DYNAMICS, SEMINARS
March 23, 2023 4:00 pmSullivan’s dictionary between Kleinian groups and rational maps reveals how many objects, such as limit sets and Julia sets, are different names for the same thing. On a deeper level,...
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