2005年4月16日(土)13時30分から | |||
数理解析研究所 202号室 | |||
阿部 拓郎 氏（京大・理） | |||
Splitting problems of sheaves on projective spaces |
Speaker: | Prof. David Bessis | ||
Title: | Topology of Complex Reflection Discriminants | ||
Date: | March 10th (Thu) 13:30 -, Room 402, RIMS March 18th (Fri) 13:30 - | ||
Place: | RIMS (to be announced) | ||
18:00 - (We will have dinner together with speakers) | |||
Schedule: 13:30 - 15:00 Speaker: Prof. David Bessis Title: Topology of Complex Reflection Discriminants | |||
15:00 - 15:30 Break | |||
15:30 - 17:00 Speaker: Prof. Pierre Cartier (CNRS/Jussieu and IHES , France) Title: On the Dimensional Regularisation Method in Quantum Field Theory and the Bernstein Polynomial Abstract: The method of dimensional renormalisation is widely used in Quantum Field Theory , especially because it is consistent with gauge invariance . In an effort to dispel the magics of a space-time with a nonintegral dimension , we propose a new viewpoiint , valid for both bosonic AND fermionic fields . We use a functional transformation , introduced around 1960 by Schwinger and then developed by Symanzik . The "bare" scattering amplitude is expressed as an integral over the Schwinger $alpha$ parameters , diverging when these parameters , of the nature of a squared-length , approach 0 . We remark that the space-time dimension D appears explicitly in one place only , as the exponent of a rational function in a certain integral . The analytic continuation with respect to D can be achieved by the method of Gelfand-Bernstein . The so-called b-polynomial , and the geometry of the singular locus control the substraction procedure necessary to regularize the divergent amplitudes . The method is perfectly general , but has to be carried explicitly in any model . | |||
Professor David Bessis (ENS/RIMS) | |||
Topology of Complex Reflection Discriminants | |||
RIMS 202 | |||
February 26th (Sat) 10:30 - 12:00 Lecture | |||
Professor David Bessis (ENS/RIMS) | |||
Topology of Complex Reflection Discriminants | |||
February 12th (Sat), February 19th (Sat) | |||
RIMS 202 | |||
13:30 - 15:30 Lecture | |||
15:30 - 16:00 Break | |||
16:00 - Discussion |
Research Institute for Mathematical Sciences, Kyoto University |
Atsushi Takahashi |