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Tony Geramita: Sums of Squares: Evolution of an Idea.

Tony Geramita, Queen’s University and University of Genova

Time: Wed 2010-03-31 16.00

Location: KTH, Matematik, seminarierum 3721

Beginning with Fermat’s characterization of primes which are the sum of two squares, I would like to show how this naturally leads to Waring’s Problem for Integers and then to Waring’s Problem for Homogeneous Polynomials. One half of this latter problem has been solved in recent years and I will explain the nature of the approach to that solution through the study of the Higher Secant Varieties of Veronese Varieties and the study of non-reduced subschemes of pro jective n-space. Despite the technical sounding terms above, the talk is aimed at a general audience and I will keep the technicalities to a minimum.

Coffee and tea served at 15.30.

Kollokvier 2010

Titel Datum
Torsten Ekedahl: The Sato-Tate conjecture 2010‑11‑03
Jesper Grodal: Finite loop spaces 2010‑11‑10
Amol Sasane: An analogue of Serre’s Conjecture and Control Theory 2010‑10‑13
Reiner Werner: Quantum correlations - how to prove a negative from finitely many observations 2010‑09‑29
Warwick Tucker: Validated Numerics - a short introduction to rigorous computations 2010‑09‑22
Idun Reiten: Cluster categories and cluster algebras 2010‑09‑01
Stefano Demichelis: Use and misuse of mathematics in economic theory 2010‑05‑26
Gregory G. Smith: Old and new perspectives on Hilbert functions 2010‑04‑14
Tony Geramita: Sums of Squares: Evolution of an Idea. 2010‑03‑31
Jens Hoppe: Non-commutative curvature and classical geometry 2010‑03‑24
Margaret Beck: Understanding metastability using invariant manifolds 2010‑03‑03
Jan-Erik Björk: Glimpses from work by Carleman 2010‑02‑10