Ralph Martin Kaufmann
Purdue University; Department of Mathematics
150 N. University Street; West Lafayette, IN
 Phone: (765) 494-1205; Fax: (765) 494-0548
e-mail: rkaufman@math.purdue.edu  URL: http://www.math.purdue.edu/~rkaufman

 
MA 697 - Fall 11



Instructor: Ralph Kaufmann

                    Office: Math 710
                     Contact via e-mail

Date and Time:   MWF  2:30 - 3:20 am in  REC 121    
Syllabus

Office hours:  MW  1:30-2:20 pm and by appointment



Topics for talks:
  1. Splitting principle, Chern classes as symmetric functions
  2. Spin structures and characteristic classes
  3. Elliptic general of level k.
  4. Multiplicativity in fiber bundles
  5. Cobordism spectrum – Thom
  6. Schubert Calculus
  7. Chern character
  8. Elliptic cohomology theories
  9. Chern Weil Theory
  10. More general version of index theorem using difference bundles
  11. Obstruction theory for lifting sections
  12. K-theory and parallelizability
  13. etc viz. your own choice

Schedule so far:
11/14
 Byeongho Lee
 Schubert Calculus
11/16
 Urs Fuchs
 Splitting Principle
11/18
 Jason Lucas
 Mutliplicativity in Fiber Bundles
11/21
 Jake Noparstak
 Chern Weil Theory
28/11
 Taylor Hines
 General Version of the index Theorem
11/30
 Andrew Schneider
 Lambda Rings and K-Theory
12/02
 Yu Tsumura
 Cobordism category and TFT
12/05
 Ben Ward
Cobordism Spectrum
12/07
 Partha Solapurkar
 Elliptic genera of level k
12/09
 Yonghen Zhang
 K-theory and parallelizability



NEWS:  Topics are up, please mail me with your choice. You may split a long topic with two people.