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BEGIN:VEVENT
UID:news775@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190212T172550
DTSTART;TZID=Europe/Zurich:20110930T000000
SUMMARY:Seminar Algebra and Geometry: Tommy Wuxing Cai (Universität Basel)
DESCRIPTION:We first realize Jack function of rectangular shapes. Then we  
 introduce  an iterative method to realize Jack functions of general  shape
 s from  those of rectangular shapes. As a byproduct\, we prove some  speci
 al cases  of Richard P. Stanley's conjecture about the positivity  of the 
  Littlewood-Richardson coefficients of Jack functions.Contents: 1. partiti
 ons and symmetric functions 2. Some history and questions about symmetric 
 functions 3. Vertex operator realization of rectangular Jack functions 4. 
 A special case of Stanley's conjecture and the realization of general Jack
  functions 5. Open questions
X-ALT-DESC:We first realize Jack function of rectangular shapes. Then we  i
 ntroduce  an iterative method to realize Jack functions of general  shapes
  from  those of rectangular shapes. As a byproduct\, we prove some  specia
 l cases  of Richard P. Stanley's conjecture about the positivity  of the  
 Littlewood-Richardson coefficients of Jack functions.<br /><br />Contents:
 <br /> 1. partitions and symmetric functions<br /> 2. Some history and que
 stions about symmetric functions<br /> 3. Vertex operator realization of r
 ectangular Jack functions<br /> 4. A special case of Stanley's conjecture 
 and the realization of general Jack functions<br /> 5. Open questions 
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