Event calendar file
School of Mathematics Colloquium
Geometry of binary hermitian forms
by Prof. Savin Gordan (University of Utah, Salt Lake, USA)
Thursday, December 31, 2009
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-69 )
at Colaba Campus ( AG-69 )
Maths., TIFR
| Description |
In a remarkabale booklet `The sensual(quadratic) form', J.H. Conway introduces an elegant approach to integral binary quadratic forms. The main tool is a 3 valence tree which is in fact an SL_2(Z)-equivariant retract of the 2-dimensional hyperbolic space. Let A be the ring of integers of a quadratic imaginary extension of the field of rational numbers. The 3-dimensional hyperbolic space has a 2-dimensional, GL_2(A)-invariant retract. The retract is a CAT(0) complex. In this lecture I will explain how the retract can be used to derive some results on hermitian binary forms over the ring A. This is a joint work with Mladen Bestvina. |
| Organised by | Aravindakshan T |
