Department of Mathematics and Computer Science
Number Theory and Combinatorics Seminar
Spring 2015
Talks are at noon on Monday in room W565 of University Hall
For more information, or to receive an email announcement of each week's seminar,
contact Nathan Ng < ng AT cs DOT uleth DOT ca > or Dave Morris <>.
                The next talk:

June 15
at noon
in C630
Darcy Best
(Monash University, Australia)
Finding Long Transversals in Latin Squares
A transversal of a latin square of order $n$ is a subset of entries picked in such a way that each row, each column and each symbol is present at most once. In many latin squares, you can find a full transversal by selecting $n$ entries which do not duplicate any row, column or symbol. But what about when you can't find a full transversal? Brualdi has conjectured that a transversal of length $n-1$ is always present in any latin square. In this talk, we will discuss recent work which shows that for small orders, Brualdi's conjecture holds. Moreover, we show that his conjecture also holds for small generalized latin squares as well.

Talks in the series this semester:
(Click on any title for more info, including the abstract. Then click on it again to hide the info.)

Date Speaker Title

Jan 12 everyone Open problem session

Jan 19 Nathan Ng A subconvexity bound for modular $\pmb{L}$-functions

Jan 26 Nathan Ng A subconvexity bound for modular $\pmb{L}$-functions, part 2

Feb 2 no seminar (PIMS Distinguished Visitor will speak at noon)

Feb 9 Nathan Ng Gaps between the zeros of the Riemann zeta function

Feb 23 Gabriel Verret Automorphism groups of vertex transitive graphs
(University of Western Australia)

Mar 11 Peter J. Cho Zeros of $\pmb{L}$-functions
(University of Buffalo)

Mar 13 Daniel Vallieres Abelian Artin $\pmb{L}$-functions at zero
(Binghamton University)

Mar 23 Tristan Freiberg Square totients
(University of Missouri)

May 8 Ram Murty Consecutive squarefull numbers
(Queen's University)

June 1 Adam Felix How close is the order of $\pmb{a}$ mod $\pmb{p}$ to $\pmb{p-1}$?
(KTH Royal Institute of Technology, Sweden)

June 15 Darcy Best Finding Long Transversals in Latin Squares
at noon
in C630
(Monash University, Australia)
Past semesters: Fall 2007 Fall 2008 Fall 2009 Fall 2010 Fall 2011 Fall 2012 Fall 2013 Fall 2014
Spring 2008 Spring 2009 Spring 2010 Spring 2012 Spring 2013 Spring 2014