TUDOMANYFILOZOFIA SZEMINARIUM, K. S c h l e s i n g e r

ELTE TTK Tudomanytortenet es Tudomanyfilozofia Tanszek Budapest, Pazmany P. setany 1/A TUDOMANYFILOZOFIA SZEMINARIUM (http://hps.elte.hu/seminar) ________________________________________________ Április 17 12:30 6. em. 6.54 K a r l - G e o r g S c h l e s i n g e r University of Wuppertal Quantization in mathematics Quantization, a topic as everybody knows coming from physics, is more and more entering pure mathematics in the sense of quantization mathematical structures themselves. The approach of deformation quantization does presently seem to be the most successful and deformation quantization of mathematical structures - from topological spaces and manifolds over groups to special functions - is everywhere present. We present an overview, focusing on the general ideas of this approach and leaving out the technical details. Quite separate from the modern approaches, there is the old idea of Birkhoff and von Neumann that quantum theory leads to the introduction of a nonclassical logic and that one should develop a corresponding quantum set theory. We give heuristic arguments showing that it seems indeed to be possible to view the modern quantum deformation theory as doing mathematics in such a quantum set theory. A szeminarium szervezoje: E. Szabo Laszlo -- Laszlo E. Szabo Department of Theoretical Physics Department of History and Philosophy of Science Eotvos University, Budapest H-1518 Budapest, Pf. 32. Phone: (36-1)2090-555/6671 Fax: (36-1)372-2509 Home: (36-1)200-7318 http://hps.elte.hu/~leszabo