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14th Annual Cantrell Lectures

Bjorn Poonen
Bjorn Poonen
Date and time:
Physics Building, Room 202

Wednesday, March 26, 2008
4:00pm, Physics Bldg., Room 202

Title of talk: Solved and unsolved problems in number theory

Abstract: I will survey a few of my favorite problems in number theory, such as Fermat's last theorem (solved) and the rectangular box problem (unsolved).

Thursday, March 27, 2008
3:30pm, Boyd Graduate Studies Bldg., Room 328

Title of talk: Hilbert's tenth problem

Abstract: Hilbert dreamed that someday we would have a general method for solving all diophantine equations, but in 1970 it was proved that no such method exists. By-products of the proof include connections to prime-producing polynomials and the Riemann hypothesis.

Friday, March 28, 2008
3:30pm, Boyd Graduate Studies Bldg., Room 328

Title of talk: Undecidability everywhere

Abstract: Undecidable problems exist in many other subjects, such as group theory and topology. There are also a few problems in number theory and algebraic geometry whose decidability status is not yet known.

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