New interactions between Geometry and Combinatorics
Date: 2019.10.27 (Sun) - 10.29 (Tue)
Place: Osaka City University, Faculty of Science, E408 (Sugimoto-cho campus, campus map)
Overview: The mini-workshop focuses on some recent interaction between combinatorics and Schubert geometry. A striking example is Naruse’s hook length formula for skew Young diagrams, whose q-analog was proved by Morales, Pak, and Panova by using techniques related to equivariant cohomology of Grassmannian. The formula was recently further generalized to a version for d-complete poset by Okada, Naruse by using equivariant K-theory. Another development was achieved by Aluffi, Mihalcea, Schürmann, and Su on Casselman’s problem. In fact, they proved conjectures of Bump, Nakasuji, and Naruse by calculating the motivic Chern classes of Schubert cells in the flag variety. This meeting, in honor of Professor Hiroshi Naruse on the occasion of his retirement, is intended to chart the course for the next stage of development in both combinatorics and geometry.
Invited Speakers
Anderson, David (Ohio State University)
Harada, Megumi (McMaster University)
Hudson, Thomas (Universität Wuppertal)
Marberg, Eric (The Hong Kong University of Science and Technology)
Nakagawa, Masaki (Okayama University)
Naruse, Hiroshi (University of Yamanashi)
Okada, Soichi (Nagoya University)
Scrimshaw, Travis (University of Queensland)
Shimozono, Mark (Virginia Tech)
Su, Changjian (University of Toronto)
Organizers:
Takeshi Ikeda (Okayama University of Science)
Toru Ohmoto (Hokkaido University)
Masato Okado (Osaka City University)
Mikiya Masuda (Osaka City University)
Tomoo Matsumura (Okayama University of Science）
This meeting is an activity of the following program:
Osaka City University Advanced Mathematical Institute (MEXT Joint Usage/Research Center)
"New interactions between Geometry and Combinatorics"