Its algebraic version, as formulated by Kollár, predicts that
Montgomery-Yang problem predicts that every pseudofree differentiableĬircle action on the 5-dimensional sphere has at most 3 non-free orbits. Next, some progress on the Algebraic Montgomery-Yang problem will be presented.
It is known that such surfaces can have at most 5 singular points.įirst, I will classify Q-homology projective planes with 5 quotient singular points, the maximum possible case. Having the same Betti numbers as the complex projective plane. Q-homology projective planes and Montgomery-Yang ProblemĪ Q-homology projective plane is a complex projective surface with quotient singularities only Furthermore, I will also talk about the application of the method on l-adic Euler-Poincare Characteristic of Chow varieties over arbitrary algebraic closed field. This technique also can be applied to Chow varieties with certain group actions and other cases. The calculation in a direct and simple way (this result has been obtained by Blaine Lawson and Stephen Yau in a different way). In this talk I will discuss this method in calculating the Euler Characteristic of Chow varieties. In particular, it can be applied to compute topological invariants of Chow varieties. The homotopy theoretic method has been applied to the algebraic cycle theory for a long period of time. Homotopy Theoretic methods on Chow varieties Well as to some previous results we have for the moduli space of cubic Obtain is similar to that for genus three curves (work of Hyeon-Lee), as In this talk I will discuss joint work with SebastianĬasalaina-Martin where we compare some of these spaces. Genus four curves, there are a number of additional compactifications (suchĪs those obtained by GIT and Kondo's ball quotient construction) that arise In addition to the Deligne-Mumford compactification for the moduli space of Notes on the birational geometry of moduli space of genus 4 curves In the process, we give a (purely algebro-geometric) generalization of the Kleiman-Bertini theorem. Formally, these are idealizer subrings of twisted homogeneous coordinate rings. We investigate when a large subclass of birationally commutative algebras is noetherian. They have been a fruitful source of counterexamples, examples, and intuition in noncommutative ring theory. If you drive, the most convenient public parking is in the pay lot whose entrance is on 34th Street between Market and Chestnut Streets.Transversality and noncommutative geometryīirationally commutative graded algebras solve the moduli problem for "point modules" over a graded ring. Coming from the airport by train (about 15 minutes): the University City Rail Station is the second stop after you leave the airport. We are about a 15 minute walk from the main 30th Street Station and 5 minutes from the University City Rail Station at 32nd and Spruce (=South Street & Convention Avenue). Note 33rd Street runs one way north while Walnut runs one way west. The building is at 209 South 33rd Street (the Southeast corner of 33rd. The Mathematics Department Office is located on the fourth (top) floor of David Rittenhouse Laboratory ("DRL").
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