- Series
- Combinatorics Seminar
- Time
- Friday, October 18, 2019 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Ricky Liu – North Carolina State University – riliu@ncsu.edu – https://riliu.math.ncsu.edu/
- Organizer
- Josephine Yu
We will describe a twisted action of the symmetric group on the polynomial ring in n variables and use it to define a twisted version of Schubert polynomials. These twisted Schubert polynomials are known to be related to the Chern-Schwartz-MacPherson classes of Schubert cells in the flag variety. Using properties of skew divided difference operators, we will show that these twisted Schubert polynomials are monomial positive and give a combinatorial formula for their coefficients.