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Amol Sasane: An analogue of Serre’s Conjecture and Control Theory

Amol Sasane, KTH

Time: Wed 2010-10-13 16.00 - 17.00

Location: Room 3721, Department of Mathematics, KTH, Lindstedtsvägen 25, 7th floor

The Quillen-Suslin Theorem, formerly known as Serre’s Conjecture, is a result in commutative algebra about the relationship between free modules and projective modules over polynomial rings. It states that every finitely generated projective module over a polynomial ring is free. Certain rings of holomorphic functions arise naturally as classes of transfer functions of stable control systems. Algebraic properties of these rings of transfer functions then play an important role in solving control theoretic problems. In particular, in this talk we will show an analogue of the Quillen-Suslin Theorem for a particular ring of holomorphic functions and explain the role this plays in the Stabilization Problem in Control Theory.

Coffee is served at 15:30 in the lunch room.

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