Department of

Mathematics


Seminar Calendar
for events the day of Friday, February 10, 2006.

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Friday, February 10, 2006

11:00 am in 2169 Beckman Institute,Friday, February 10, 2006

TBA

Robert Fossum and Yi Ma (UIUC ECE)

4:00 pm in 245 Altgeld Hall,Friday, February 10, 2006

New Methods in Celestial Mechanics and Space Mission Design

Shane Ross (University of Southern California)

Abstract: The title of this talk is inspired by the work of Poincare, who introduced many key dynamical systems methods during his research on celestial mechanics and especially the three body problem. Since then, many researchers have contributed to his legacy by developing and applying these methods to problems in celestial mechanics and, more recently, with the design of space missions. One of the key ideas is that the competing gravitational pull between celestial bodies creates a vast array of passageways that wind around the sun, planets and moons. The boundaries of these passageways are realized geometrically as invariant manifolds attached to equilibrium points and periodic orbits in interlinked three body problems. In particular, tube-like structures form an interplanetary transport network which will facilitate the exploration of the Moon, the asteroids, and the outer solar system, including a mission to assess the possibility of life on Jupiter's icy moons. We summarize these ideas, including their relationship to other problems in dynamics and control, and discuss future directions. Hosts: R. Sowers and R. Ghrist

4:00 pm in 141 Altgeld Hall,Friday, February 10, 2006

Groups, measures, and the NIP - continuation

ShiChang Song, Clifton Ealy (UIUC Math)

Abstract: We continue reading the paper "Groups, measures and the NIP" by E. Hrushovski, Y. Peterzil and A. Pillay. Song will finish his presentation of Section 2. Then Clifton will be talking about Section 3 (NIP and some consequences).