Next Seminar
Density of shapes of periodic tori II: the general case
Nihar Gargava (University of Paris Sacaly)
2026-04-22 (Wed) 15:30 — Room 102, SCMS
Abstract: Consider the action of unimodular diagonal matrices on SL(n,R)/SL(n,Z). A compact orbit for this action is called a periodic torus. For each periodic torus of this action, we define a shape point to be the point in SL(n-1,R)/SL(n-1,Z) that defines the lattice of periods of the periodic tori. We consider all the possible shapes that can be obtained from periodic tori and show that this set is dense in SL(n-1,R)/SL(n-1,Z).
Next Event
No upcoming event.