Department of

Mathematics


Seminar Calendar
for events the day of Friday, January 29, 2016.

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Friday, January 29, 2016

2:00 pm in 445 Altgeld Hall,Friday, January 29, 2016

On Hardy Fields and Transseries

Santiago Camacho (UIUC Math)

Abstract: A Hardy Field is a subfield of the Ring of germs of real functions at infinity. That is closed under differentiation. Easy examples include the reals $\mathbb{R}$, the field of rational functions at infinity $\mathbb{R}(x)$ and the field of Laurent series at infinity $\mathbb{R}((x^{-1}))$. We will mention some properties about them, and their connection to truncation closed fields of transseries. If time permits we will mention some closure properties of truncation closed subsets of transseries.

4:00 pm in 241 Altgeld Hall,Friday, January 29, 2016

Exploding Trousers: A New Symplectic Cobordism

Melinda Lanius (UIUC Math)

Abstract: Symplectic geometry is the study of a manifold $M$ with a particular type of smooth map $\omega$. We can glue two symplectic manifolds at a contact boundary only if one side is a strong convex filling of the contact boundary and the other a concave filling. By expanding our notion of symplectic in a very naturally occurring way, we will demonstrate how to glue two convex boundaries together. This new notion is called scattering-symplectic geometry and involves allowing the map $\omega$ to be singular at the contact boundary.