### Mathmagics with Dr. Baker

- Series
- Other Talks
- Time
- Wednesday, March 10, 2010 - 16:30 for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Matt Baker – Georgia Tech

Join math club for Dr. Baker's mathematical magic show.

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- Series
- Other Talks
- Time
- Wednesday, March 10, 2010 - 16:30 for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Matt Baker – Georgia Tech

Join math club for Dr. Baker's mathematical magic show.

- Series
- Mathematical Biology Seminar
- Time
- Wednesday, March 10, 2010 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Yuri Bakhtin – Georgia Tech

I will consider a class of mathematical models of decision
making. These models are based on dynamics in the neighborhood of
unstable equilibria and involve random perturbations due to small
noise. I will report results on the vanishing noise limit for these
systems, providing precise predictions about the statistics of
decision making times and sequences of unstable equilibria visited by
the process. Mathematically, the results are based on the analysis of
random Poincare maps in the neighborhood of each equilibrium point. I
will also discuss some experimental data.

- Series
- PDE Seminar
- Time
- Tuesday, March 9, 2010 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Bob Pego – Carnegie Mellon University

A classic story of nonlinear science started with the
particle-like
water wave that Russell famously chased on horseback in 1834. I will
recount progress regarding the robustness of solitary waves in
nonintegrable model systems such as FPU lattices, and discuss progress
toward a proof (with Shu-Ming Sun) of spectral stability of small
solitary waves for the 2D Euler equations for water of finite depth
without surface tension.

- Series
- Research Horizons Seminar
- Time
- Tuesday, March 9, 2010 - 12:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Heinrich Matzinger – Professor, School of Mathematics

**Please Note:** Hosted by: Huy Huynh and Yao Li

The Scenery Reconstruction Problem consists in trying to reconstruct
a coloring of the integers given only the observations made by
a random walk. For this we consider a random walk S and
a coloring of the integers X. At time $t$ we observe
the color $X(S(t))$. The coloring is i.i.d. and we show that
given only the sequence of colors
$$X(S(0)),X(S(1)),X(S(2)),...$$
it is possible to reconstruct $X$ up to translation
and reflection. The solution depends on the property of the
random walk and the distribution of the coloring.
Longest Common Subsequences (LCS) are widely used in genetics.
If we consider two sequences X and Y, then a common subsequence
of X and Y is a string which is a subsequence of X and of Y at the same
time. A Longest Common Subsequence of X and Y is a common
subsequence of X and Y of maximum length. The problem of the asymptotic
order of the flucutation for the LCS of independent random
strings has been open for decades. We have now been able to
make progress on this problem for several important cases.
We will also show the connection to the Scenery Reconstruction
Problem.

- Series
- Algebra Seminar
- Time
- Monday, March 8, 2010 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 171
- Speaker
- Mihran Papikian – Penn State

We discuss some arithmetic properties of modular varieties
of D-elliptic sheaves, such as the existence of rational points or
the structure of their "fundamental domains" in the Bruhat-Tits
building. The notion of D-elliptic sheaf is a generalization of the
notion of Drinfeld module. D-elliptic sheaves and their moduli
schemes were introduced by Laumon, Rapoport and Stuhler in their
proof of certain cases of the Langlands conjecture over function
fields.

- Series
- Applied and Computational Mathematics Seminar
- Time
- Monday, March 8, 2010 - 13:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Chun Liu – Penn State/IMA

Almost all models for complex fluids can be fitted into the energetic variational framework. The advantage of the approach is the revealing/focus of the competition between the kinetic energy and the internal "elastic" energies. In this talk, I will discuss two very different engineering problems: free interface motion in Newtonian fluids and viscoelastic materials. We will illustrate the underlying connections between the problems and their distinct properties. Moreover, I will present the analytical results concerning the existence of near equilibrium solutions of these problems.

- Series
- Other Talks
- Time
- Monday, March 8, 2010 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Room 129, Global Learning Center (behind the GA Tech Hotel)
- Speaker
- Christine Franklin – University of Georgia

**Please Note:** For more information, see the flyer.

Statistics is now a part of the K-12 curriculum (including elementary school) and there is much activity in the area of statistics education. This colloquium is intended for any and all faculty, staff, and students, who are interested in, have taught, or have children in k-12 schools.

- Series
- Other Talks
- Time
- Saturday, March 6, 2010 - 19:00 for 1 hour (actually 50 minutes)
- Location
- Instructional Center Room 103
- Speaker
- Art Benjamin – Harvey Mudd College

The speaker has combined his two loves to create a dynamic presentation called "Mathemagics," suitable for all audiences, where he demonstrates and explains his secrets for performing rapid mental calculations faster than a calculator. Reader's Digest calls him "America's Best Math Whiz". He has presented his high energy talk for thousands of groups throughout the world. This event is free but reservations are required. The signup form will be available before 5pm on February 25.
See details about the speaker.

- Series
- Other Talks
- Time
- Saturday, March 6, 2010 - 09:00 for 8 hours (full day)
- Location
- Skiles 269
- Speaker
- SIAM Student Conference – School of Mathematics, Georgia Tech

The SIAM Student Chapter at Georgia Tech will be hosting this conference. It is an extension of the ACES Workshop which has been held yearly by the universities of Auburn, Clemson, Emory, and South Carolina since 2006. As with the ACES Workshop, this conference is an opportunity for graduate students to present their research in applied mathematics and related fields as well as to meet with other graduate students from different universities and departments. See the conference site for more details.

- Series
- Combinatorics Seminar
- Time
- Friday, March 5, 2010 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Asaf Shapira – School of Mathematics, Georgia Tech

Let a_1,...,a_k satisfy a_1+...+a_k=1 and suppose a k-uniform hypergraph on n
vertices satisfies the following property; in any partition of its vertices into k
sets A_1,...,A_k of sizes a_1*n,...,a_k*n, the number of edges intersecting
A_1,...,A_k is the number one would expect to find in a random k-uniform hypergraph.
Can we then infer that H is quasi-random? We show that the answer is negative if and
only if a_1=...=a_k=1/k. This resolves an open problem raised in 1991 by Chung and
Graham [J. AMS '91].
While hypergraphs satisfying the property corresponding to a_1=...=a_k=1/k are not
necessarily quasi-random, we manage to find a characterization of the hypergraphs
satisfying this property. Somewhat surprisingly, it turns out that (essentially)
there is a unique non quasi-random hypergraph satisfying this property. The proofs
combine probabilistic and algebraic arguments with results from the theory of
association schemes.
Joint work with Raphy Yuster