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CATEGORIES:Lecture
DESCRIPTION:Parameter Spaces: Algebraic & Analytic\, Past & Present -\nSome
times it’s easy to describe the solutions to a mathematical problem. If we
need to find the roots of a polynomial\, say f(x) = x^2 3x + 2\, it’s no p
roblem to describe the solutions: 1 and 2. But what if a mathematical probl
em has infinitely many solutions? What if we need to classify all circles i
n the plane\, or all rectangles? We’ll see how certain constants\, called p
arameters\, can be used to organize solutions to these types of problems\,
and how they can also reveal important structure underlying our mathematica
l problems.\n\nWe’ll start by exploring examples of parameters used to clas
sify simple objects\, like circles and rectangles. Then\, we'll see how to
define parameters for elliptic curves from both an algebraic and an analyti
c perspective. We'll finish by summarizing the history of certain parameter
spaces\, called Shimura varieties\, and by discussing a surprising recent
development in this area.
DTEND:20211203T014500Z
DTSTAMP:20220129T005306Z
DTSTART:20211203T004500Z
LOCATION:\, Eliot 314
SEQUENCE:0
SUMMARY:IN PERSON Math Colloquium: Maria Fox\, University of Oregon
UID:tag:localist.com\,2008:EventInstance_37634814759961
URL:https://events.reed.edu/event/math_colloquium_maria_fox_university_of_o
regon
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