No Seminar - Thanksgiving Break
- Series
- Geometry Topology Working Seminar
- Time
- Friday, November 25, 2016 - 14:00 for 1 hour (actually 50 minutes)
- Location
- None
- Speaker
- None – None
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No Seminar - Thanksgiving Break
- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, November 23, 2016 - 14:00 for 1 hour (actually 50 minutes)
- Location
- None
- Speaker
- None – None
Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization
- Series
- Applied and Computational Mathematics Seminar
- Time
- Monday, November 21, 2016 - 14:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Dr. Christina Frederick – Georgia Tech Mathematics
We present a multiscale approach for identifying features in ocean beds
by solving inverse problems in high frequency seafloor acoustics. The
setting is based on Sound Navigation And Ranging (SONAR) imaging used in
scientific, commercial, and military applications. The forward model
incorporates multiscale simulations, by coupling Helmholtz equations and
geometrical optics for a wide range of spatial scales in the seafloor
geometry. This allows for detailed recovery of seafloor parameters
including material type. Simulated backscattered data is generated using
numerical microlocal analysis techniques. In order to lower the
computational cost of the large-scale simulations in the inversion
process, we take advantage of a \r{pre-computed} library of
representative acoustic responses from various seafloor
parameterizations.
Homology cobordism and Dehn surgery
- Series
- Geometry Topology Seminar
- Time
- Monday, November 21, 2016 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Francesco Lin – Princeton
We discuss a few applications of Pin(2)-monopole Floer homology to problems in homology cobordism. Our main protagonists are (connected sums of) homology spheres obtained by surgery on alternating and L-space knots with Arf invariant zero.
Problems, Algorithms, and Complexity in Algebraic Geometry
- Series
- ACO Student Seminar
- Time
- Friday, November 18, 2016 - 13:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Tim Duff – School of Mathematics, Georgia Tech
At the intersection of computability and algebraic geometry, the
following question arises: does an integral polynomial system of
equations have any integral solutions? Famously, the combined work of
Robinson, Davis, Putnam, and Matiyasevich answers this in the negative.
Nonetheless, algorithms have played in increasing role in the
development of algebraic geometry and its many applications. I address
some research related to this general theme and some outstanding
questions.
Math Graduate Student Information Session
- Series
- GT-MAP Seminar
- Time
- Friday, November 18, 2016 - 12:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Luca Dieci and Sung Ha Kang – GT Math
This is an information session about research opportunities related to GT MAP activities. If you are a math graduate student, please join for free pizza as well.
On the Erdos-Szekeres convex polygon problem: A discussion
- Series
- Combinatorics Seminar
- Time
- Thursday, November 17, 2016 - 15:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Andrew Suk – University of Illinois, Chicago
Andew Suk will discuss some of the techincal details in his colloquium talk about the Erdos-Szekeres convex polygon problem. This is mainly an informal discussion.
On the Erdos-Szekeres convex polygon problem
- Series
- School of Mathematics Colloquium
- Time
- Thursday, November 17, 2016 - 11:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Andrew Suk – University of Illinois at Chicago
The
classic 1935 paper of Erdos and Szekeres entitled ``A combinatorial
problem in geometry" was a starting point of a very rich discipline
within combinatorics: Ramsey theory. In that paper, Erdos and Szekeres
studied the following geometric problem. For every integer n \geq 3,
determine the smallest integer ES(n) such that any set of ES(n) points
in the plane in general position contains n members in convex position,
that is, n points that form the vertex set of a convex polygon. Their main result showed
that ES(n) \leq {2n - 4\choose n-2} + 1 = 4^{n -o(n)}. In 1960, they
showed that ES(n) \geq 2^{n-2} + 1 and conjectured this to be optimal.
Despite the efforts of many researchers, no improvement in the order of
magnitude has been made on the upper bound over the last 81 years. In
this talk, we will sketch a proof showing that ES(n) =2^{n +o(n)}.
Legendrian Contact Homology Examples
- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, November 16, 2016 - 14:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Caitlin Leverson – Georgia Tech
We will review the definition of the Chekanov-Eliashberg differentialgraded algebra for Legendrian knots in R^3 and look at examples tounderstand a few of the invariants that come from Legendrian contacthomology.
Joint Stochastics-Math Finance Seminar - Three puzzles in quantitative finance
- Series
- Other Talks
- Time
- Wednesday, November 16, 2016 - 13:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Viorel Costeanu – J.P. Morgan – viorel.costeanu@gmail.com
1. One day before the election, the statistics site 538 predicted a 70% chance of a Clinton victory. How do we judge the quality of probabilistic prediction models? Ultimately every quant finance model has a probabilistic prediction model at its core, for instance the geometric Brownian Motion is the core of Black-Scholes. I will explain the Basel Traffic Ligths Framework and then I'll ask the audience to think how the framework can be extended. 2. Multi-factor local volatility. I will explain Dupire's local volatility model and ask how this model can be extended to a multi-factor framework. 3. Model overfitting. There are objective criteria for statistical model overfitting, such as AIC. Such criteria don't exist for risk-neutral derivatives pricing models.