Department of

Mathematics


Seminar Calendar
for events the day of Friday, September 25, 2015.

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Friday, September 25, 2015

2:00 pm in 143 Altgeld Hall,Friday, September 25, 2015

Symplectic toric cones and symplectic toric stratified spaces

Seth Wolbert   [email] (UIUC Math)

Abstract: In a recently published paper, Karshon and Lerman provided a classification for all symplectic toric manifolds, generalizing a well-known result of Delzant. We will discuss how the methods developed by Karshon and Lerman may be adapted to classify both symplectic toric cones and symplectic toric stratified spaces with isolated singularities.

2:00 pm in 447 Altgeld Hall,Friday, September 25, 2015

Using equilateral triangles to prove quasiconformality

Colleen Ackermann (UIUC Math)

Abstract: Since quasiconformal mappings were first studied nearly a century ago, they have been applied in a wide variety of fields including PDE's, complex dynamics and Teichmuller theory. The diversity of applications may in part be due to the many definitions of quasiconformal mappings which are all equivalent in the complex plane. In this talk we will give a new sufficient condition for quasiconformality which depends only on the relative distances between the images of vertices of equilateral triangles. This is joint work with Peter Haissinsky and Aimo Hinkkanen.

4:00 pm in 345 Altgeld Hall,Friday, September 25, 2015

On "Surreal numbers, derivations and transseries" by A. Berarducci and V. Mantova [arXiv link]

Santiago Camacho   [email] (UIUC Math)

Abstract: This is the third in the upcoming series of talks on the paper mentioned in the title.

4:00 pm in 243 Altgeld Hall,Friday, September 25, 2015

Poisson Manifolds as Families of Hamiltonian Systems

Joel Villatoro (UIUC Math)

Abstract: In this talk, we will introduce the subject of Poisson geometry from the point of view of classical mechanics where a Poisson manifold is a family of Hamiltonian phase spaces. This should be fairly expository and accessible. We will then give a brief idea of how to study the transverse geometry of this family.