Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, January 17, 2006.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    December 2005           January 2006          February 2006
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3    1  2  3  4  5  6  7             1  2  3  4
4  5  6  7  8  9 10    8  9 10 11 12 13 14    5  6  7  8  9 10 11
11 12 13 14 15 16 17   15 16 17 18 19 20 21   12 13 14 15 16 17 18
18 19 20 21 22 23 24   22 23 24 25 26 27 28   19 20 21 22 23 24 25
25 26 27 28 29 30 31   29 30 31               26 27 28



Tuesday, January 17, 2006

1:00 pm in 347 Altgeld Hall,Tuesday, January 17, 2006

#### Transport in the One-Dimensional Schrodinger Equation

###### Michael Goldberg (JHU Math)

Abstract: The free Schrodinger evolution respects the principle of inertia in the sense that objects at rest tend to remain at rest. In the presence of a generic potential (one without a resonance at zero energy), however, all initial data tends to propagate with nonzero velocity. We will sketch out a proof of this curious phenomenon, and describe what happens instead in the resonant case.

2:00 pm in 243 Altgeld Hall,Tuesday, January 17, 2006

#### A Jordan domain is CAT(0)

###### Richard Bishop (UIUC Department of Mathematics)

Abstract: For a Jordan domain in the plane the length metric space of points connected to an interior point by a curve of finite length is a CAT(0) space. With respect to the cone topology, that space plus its boundary at infinity is topologically the same as the original Jordan domain.

4:00 pm in 245 Altgeld Hall,Tuesday, January 17, 2006

#### Solutions of families of polynomial equations

###### Jason M. Starr (MIT)

Abstract: Given a system of polynomials depending on parameters, when is there a polynomial map in the parameters whose output is a solution of the system for that choice of parameters? For 1-parameter systems, there is a polynomial map if for a general choice of the parameter every pair of solutions of the system can be connected by a 1-parameter family of solutions, i.e., if the variety is "rationally connected". I will discuss this theorem, the geometric interpretation and some consequences, and a conjecture for 2-parameter systems. Host: S. Katz