|Speaker:||Tathagata Basak (Iowa State U)|
|Title:||From a finite projective plane to the monster via hyperbolic geometry|
|Date:||Thu, Aug 09, 2012, 13:15 - 14:45|
|Place:||Seminar Room B|
Using the combinatorics of projective planes over the finite field of q elements, I shall construct a family of sqrt(-q) modular lattices.
Then I shall talk about the automorphism group R of the lattice obtained for q = 3. Let Y be the complex hyperbolic space on which R acts minus the fixed points of R and let X be the quotient of Y by R. Daniel Allcock has conjectured that the fundamental group of X is related to the monster simple group.
I shall explain the motivation behind this conjecture and state some results that provide supporting evidence.