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Mathematics & Statistics

Colloquium - "A tapestry of mathematical research: postdoc threads" - D. Duncan, M. Thomas, D. Valdebenito

From January 19, 2018 15:30 until January 19, 2018 16:30

 


David Duncan,
Margaret Thomas,
Dario Valdebenito

Department of Mathematics and Statistics
McMaster University

A tapestry of mathematical research: postdoc threads

 DAVID DUNCAN                                 

Title:  A short tour from manifolds to gauge theory (and back?)

Abstract: I will describe some equations from gauge theory and discuss ways in which they are currently used to study manifolds in dimensions 2 and 3 (and 4, time permitting).

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 MARGARET THOMAS

Title:  Counting Rational Points on Definable Sets

Abstract: Given a set in Euclidean space, what is the `density' of its subset of points with rational coordinates? This is a question with a long number-theoretic history, in particular where the initial sets are `algebraic'. In the analogous `transcendental' setting, significant progress has been made only relatively recently, largely influenced by the involvement of model theory -- in particular, a framework for `tame geometry' known as `o-minimality'. The goal of this talk is to survey the central ingredients in this interaction, illustrate what this density tells us about the algebraic nature of certain sets, and highlight potential improvements that are the subject of ongoing research.

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 DARIO VALDEBENITO 

Title: Birkhoff normal form and the quasilinear wave equation

Abstract: The Birkhoff normal form algorithm is an important tool in the study of Hamiltonian systems, allowing one to transform a Hamiltonian to eliminate inessential nonlinearities. I will discuss some challenges in the useof this algorithm to study Hamiltonian PDE, with emphasis on the quasilinear wave equation.


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 Refreshments will be served in HH/216 at 3:00 pm

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McMaster University - Faculty of Science

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Department of Mathematics & Statistics
McMaster University

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1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca

McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca