Description
Speaker: Niranjan Balachandran
Title: The Erdos-Heilbronn conjecture
Abstract: The conjecture of Erdos-Heilbronn (1964) states the following:
Suppose G is a a finite group and and we have a G-sequence
(g_1,g_2,...,g_l) of pairwise distinct g_i where l>2|G|^{1/2}, there is a
subsequence (g_{i_1},g_{i_2},..,g_{i_t}) (for some t) such that \prod_{j}
g_{i_j} = 1.
The conjecture is open in its fullness, but has been settled (up to a
constant) in some special cases of groups. We will see the proof of the
E-H conjecture for cyclic groups, by Szemeredi.