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Past Seminars- Differential Geometry
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Professor Herman KarcherThu Mar 10, 20053:00 pmThe lecture will be about complete embedded minimal surfaces in R^3 (some immersed ones help the explanations). Before 1978 very little was known and after 1984 progress became rapid. I will illustrate with pictures, how observed features of known surfaces led to new, increasingly abstract, constructions. I will not assume that the audience...
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Professor Huai-Dong CaoTue Mar 8, 20054:00 pm
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Professor Jonathan WeitsmanTue Mar 1, 20054:00 pm
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Professor Ailana FraserTue Mar 1, 20053:00 pm
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Professor Andrejs TreibergsTue Feb 22, 20054:00 pmConsider the problem of n predators X_1,...,X_n chasing a single prey X_0, all independent standard Brownian motions on the real line. If the prey starts to the right of the predators, X_k(0) < X_0(0) for all k=1,...,n, then the first capture time is T_n = inf{ t > 0 : X_0(t) = X_k(t) for some k }. Equivalently, this is the first...
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Christopher LinTue Feb 15, 20054:00 pm
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Professor Guofang WeiTue Feb 8, 20054:00 pmWe define a new spectrum for compact length spaces and Riemannian manifolds called the ``covering spectrum" which roughly measures the size of the one dimensional holes in the space. More specifically, the covering spectrum is a set of real numbers $\delta>0$ which identify the distinct $\delta$ covers of the space. We investigate the...