**Date & Time:** Thursday, September 05, 2013, 14:00- 15:00.

**Venue:** Ramanujan Hall

**Title:** The Goldman-Rota identity and the Grassmann scheme

**Speaker:** Murali K. Srinivasan, IIT Bombay

**Abstract:** We shall discuss the following topics.

- Recall the Basic lemma.
- Use the Basic lemma to
- Give a positive formula for the complexity of the q-analog of the n-cube.
- Explicitly block diagonalize the commutant of the GL(n,F_q) action on B_q(n). This generalizes Delsarte's determination of the eigenvalues of the Grassmann scheme.
- Pose a bijective proof problem on the spanning trees of the Grassmann graphs.

- State the Fundamental lemma (= linear or quantum interpretation of the Goldman-Rota recurrence). This yields a constructive proof of the Basic lemma.