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Project Euclid (Hosted at Cornell University Library) (192.320 recursos)
Mathematical Society of Japan Memoirs
Mathematical Society of Japan Memoirs
Maruyama, Masaki
Chapter I: First we shall show that if we collect all the vector bundles on a projective variety and require a weak universal property of a moduli space, then there does not exist the moduli space. This motivates us to introduce the notion of stability and semi-stability. The idea of Harder-Narasimhan filtration plays a crucial role sometimes behind strong results and sometimes very explicitly. Two of basic results on boundedness are proved in the section 3. The formulation of the first is due to L. S. Kleiman and the second is a theorem of Grothendieck. We shall show a beautiful...
Barlow, Martin T.; Jordán, Tibor; Zuk, Andrzej
This is a volume of lecture notes based on three series of lectures given by three visiting professors of RIMS, Kyoto University during the year long project research "Discrete Geometric Analysis" in the Japanese academic year 2012. The aim of the project research was to make comprehensive research on topics related to discreteness in geometry, analysis and optimization. The goal is to expand and make a new stream of discrete geometric analysis by exchanging ideas in each area. The main themes during the project and also of this volume are threefold: i) Discrete probability theory and analysis on graphs, ii)...
Zuk, Andrzej
These notes present different aspects of analysis and geometry on infinite groups. They are centered around two notions, amenability and property (T), which play a central role both from geometric and analytic point of view. We analyze these notions with their relation to expander graphs constructions.
Jordán, Tibor
This paper is based on material presented at the Research Institute for Mathematical Sciences (RIMS), Kyoto University, in October 2012 in a series of lectures. Thus, on one hand, it serves as the lecture note of this minicourse Combinatorial rigidity: graphs and matroids in the theory of rigid frameworks. On the other hand, this final, extended form is perhaps closer to a short monograph on combinatorial rigidity problems of two-dimensional frameworks. It contains the fundamental results of this area as well as a number of more recent results concerning extensions, variations and applications. Also added are several exercises and some...
Barlow, Martin T.
Koike, Shigeaki
Asuke, Taro
Choi, Suhyoung
Nishibata, Shinya; Suzuki, Masahiro
Sugita, Hiroshi
Sergeev, Armen
Rivoal, Tanguy
Nicaise, Johannes
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi
Katsurada, Hidenori
Kaneko, Masanobu
Hironaka, Yumiko
Chambert-Loir, Antoine
Bhowmik, Gautami