Forms in many variables: algebra, geometry, logic

Type: 
PhD Student Seminar
Audience: 
Open to the Public
Building: 
Zrinyi u. 14
Room: 
310/A
Wednesday, October 2, 2013 - 2:00pm
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Date: 
Wednesday, October 2, 2013 - 2:00pm to 4:00pm

I shall discuss the following question: given a homogeneous polynomial in "much more" variables than its degree, does it have a nontrivial zero? The answer depends, of course, on the field of coefficients of the polynomial. I shall present several results in the area, from a classical theorem of Chevalley to a very recent result of Denef. I also intend to explain how methods of algebraic geometry and mathematical logic are useful in studying this kind of problem.

You can watch the lecture here: 

http://www.youtube.com/watch?v=8aniG9bu5OQ&list=PL_0phSnA7tyQJDn-5hacAuELRteKNuyl-