SMS scnews item created by Zhou Zhang at Wed 14 Mar 2012 1125
Type: Seminar
Modified: Wed 21 Mar 2012 1242; Wed 21 Mar 2012 1244
Distribution: World
Expiry: 4 Apr 2012
Calendar1: 21 Mar 2012 1300-1400
CalLoc1: W5C 232 , Macquarie University (CANCELLED)
CalTitle1: Macquarie Colloquium Lecture: Pomerance -- Sums and products
Auth: zhangou@bari.maths.usyd.edu.au

# Macquarie Colloquium Lecture (CANCELLED): Pomerance -- Sums and products

There is just a message from the organizer (earlier today,
March 21) that this event has been cancelled.

I am very sorry for any inconvenience this must have caused.

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Macquarie University

Mathematics Department Colloquium Lecture

Room: W5C 232

Date: Wednesday, 21/03/2012

Time: 1 pm

Speaker: Carl Pomerance, Dartmouth College

http://www.math.dartmouth.edu/~carlp/

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Title: Sums and products

Abstract: what could be simpler than to study sums and
products of integers? Well maybe it is not so simple
since there is a major unsolved problem: for arbitrarily
large numbers $N$, can there be sets of $N$ positive
integers where both the number of pairwise sums and
pairwise products is less than $N^{2-\e[silon}$? Erdos
and Szemeredi conjecture no. This talk is directed at
another problem concerning sums and products, namely
how dense can a set of positive integers be if it
contains none of its pairwise sums and products? For
example, take the numbers that are 2 or 3 mod 5, a set
with density 2/5. Can you do better? This talk reports
on joint work with P. Kurlberg and J. C. Lagarias.

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We will take the speaker out to lunch at the Staff Club.
The lunch party departs from level 4 of E7A at 12 noon.