Department of Mathematics and Computer Science Number Theory and Combinatorics Seminar Fall 2016 Talks are at noon on Monday in room C756 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: Sept 26 at noon in C756 Farzad Aryan (Université de Montréal) On the zero free region of the Riemann zeta function We discuss the possibility that the Riemann zeta function has a zero $\sigma +iT$ to the left of the classical zero free region. We will show how the existence of this zero forces the function to have many more zeros in the vicinity of $\sigma+iT$ or/and $\sigma +2iT$.
 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 Sept 12 everyone Open problem session at noon in C756 Please bring your favourite (math) problems. Anyone with a problem to share will be given about 5 minutes to present it. We will also choose most of the speakers for the rest of the semester. Sept 19 Hadi Kharaghani The Strongly Regular Graph SRG$\boldsymbol{(765,192,48,48)}$ at noon in C756 (University of Lethbridge) Andries Brouwer is 65 and a special issue of Designs, Codes and Cryptography is issued to celebrate the occasion. Professor Brouwer maintains an elegant public database of existence results for all possible strongly regular graphs on $n\le 1300$ vertices. In a very nice paper, Cohen and Pasechnik implemented most of the graphs listed there in the open source software Sagemath and obtained a graph for each set of parameters mentioned in the database. In their initial version of the paper, they mentioned 11 cases as missing values. A number of the cases were related to my work with professors Janko, Tonchev, and Ionin. I tried to help out with these cases and four cases were resolved quickly, after I sent detailed instructions. However, there was a problem with the case of SRG$(765,192,48,48)$. This talk relates to this special case and a nice application of generalized Hadamard matrices. To make the talk accessible to general audiences, I will provide many examples illustrating the concepts involved. Sept 26 Farzad Aryan On the zero free region of the Riemann zeta function at noon in C756 (Université de Montréal) We discuss the possibility that the Riemann zeta function has a zero $\sigma +iT$ to the left of the classical zero free region. We will show how the existence of this zero forces the function to have many more zeros in the vicinity of $\sigma+iT$ or/and $\sigma +2iT$. Oct 3 Dave Morris Hamiltonian paths in projective checkerboards at noon in C756 (University of Lethbridge) Place a checker in some square of an $m \times n$ rectangular checkerboard, and glue opposite edges of the checkerboard to make a projective plane. We determine whether the checker can visit all the squares of the checkerboard (without repeating any squares), by moving only north and east. This is joint work with Dallan McCarthy, and no advanced mathematical training will be needed to understand most of the talk. Oct 17 Mikhail Muzychuk Title TBA at noon in C756 (Netanya Academic College, Israel) Abstract TBA Oct 24 Nathan Ng Title TBA at noon in C756 (University of Lethbridge) Abstract TBA Oct 31 Amir Akbary Title TBA at noon in C756 (University of Lethbridge) Abstract TBA Nov 14 Alia Hamieh Title TBA at noon in C756 (University of Lethbridge) Abstract TBA Nov 21 Luke Morgan Title TBA at noon in C756 (University of Western Australia) Abstract TBA Nov 28 Gabriel Verret Title TBA at noon in C756 (University of Auckland, New Zealand) Abstract TBA Dec 5 Habiba Kadiri Title TBA at noon in C756 (University of Lethbridge) Abstract TBA Dec 12 Speaker TBA Title TBA at noon in C756 Abstract TBA
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