Math Colloquium, Jeremy Rouse (Wake Forest): 'Integers represented by quadratic forms'

Thursday, April 2, 2015
4:15 PM - 5:30 PM (ET)
ESC 638
Event Type
Lecture
Contact
Christopher Rasmussen, x2315
Department
Academic
Link
https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=48379

Abstract: We say a quadratic form represents a positive integer if the equation has a solution where is a vector with integer entries.Given a set S of positive integers, how does one classify all quadratic formsthat represent all elements of? This talk will survey recent results on such questions, including Bhargava and Hanke's '290-theorem'. The notion of escalator latticesreduces the problem to studying a finite collection of quadratic forms to answer such a question.The theory of modular forms provides the right tool to prove that a quadratic form representsall the elements.

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