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Wednesday, October 18, 2017
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11:00am [11:00am]Niranjan Balachandran
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.

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