Colloquia/Fall18

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Mathematics Colloquium

All colloquia are on Fridays at 4:00 pm in Van Vleck B239, unless otherwise indicated.

Spring 2015

date speaker title host(s)
January 23 Tentatively reserved for possible interview
January 30 Tentatively reserved for possible interview
February 6 Morris Hirsch (UC Berkeley and UW Madison) Fixed points of Lie group actions Stovall
February 13 Mihai Putinar (UC Santa Barbara, Newcastle University) TBA Budišić
February 20 David Zureick-Brown (Emory University) TBA Ellenberg
February 27 Allan Greenleaf (University of Rochester) TBA Seeger
March 6 Larry Guth (MIT) TBA Stovall
March 13 Cameron Gordon (UT-Austin) TBA Maxim
March 20 Murad Banaji (University of Portsmouth) TBA Craciun
March 27 Kent Orr (Indiana University at Bloomigton) TBA Maxim
April 3 University holiday
April 10 Jasmine Foo (University of Minnesota) TBA Roch, WIMAW
April 17 Kay Kirkpatrick (University of Illinois-Urbana Champaign) TBA Stovall
April 24 Marianna Csornyei (University of Chicago) TBA Seeger, Stovall
May 1 Bianca Viray (University of Washington) TBA Erman
May 8 Marcus Roper (UCLA) TBA Roch

Abstracts

February 12: Mihai Putinar (UC Santa Barbara)

Quillen’s property of real algebraic varieties

A famous observation discovered by Fejer and Riesz a century ago is the quintessential algebraic component of every spectral decomposition result. It asserts that every non-negative polynomial on the unit circle is a hermitian square. About half a century ago, Quillen proved that a positive polynomial on an odd dimensional sphere is a sum of hermitian squares. Fact independently rediscovered much later by D’Angelo and Catlin, respectively Athavale. The main subject of the talk will be: on which real algebraic sub varieties of [math]\mathbb{C}^n[/math] is Quillen theorem valid? An interlace between real algebraic geometry, quantization techniques and complex hermitian geometry will provide an answer to the above question, and more. Based a recent work with Claus Scheiderer and John D’Angelo.

Past Colloquia

Fall 2014

Spring 2014

Fall 2013

Spring 2013

Fall 2012