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Special Colloquium
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Nick Salter, Zoom: Families of Riemann surfaces and higher spin structures
Tuesday, January 12, 2021, 11:00am - 12:00pm
Riemann surfaces are central objects in mathematics, bringing complex analysis, algebraic geometry, topology, group theory, dynamics (and more) into close conversation. In many situations, Riemann surfaces occur in families that parameterize some additional algebraic or geometric structure that can be placed on a fixed underlying topological surface. The first part of this talk will be an introduction to families of Riemann surfaces, with an emphasis on the topological aspects of the theory. In the second part, I will discuss some of my own contributions (in collaboration with Aaron Calderon and Pablo Portilla Cuadrado), concerning families of Riemann surfaces equipped with so-called higher spin structures, which arise in a surprising diversity of settings (linear systems on algebraic surfaces, singularity theory, Teichm?ller dynamics).
Location: Zoom

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