Upcoming Seminars

Title: The number of Gallai colorings
Seminar: Combinatorics
Speaker: Jie Han of University of Rhode Island
Contact: Dwight Duffus, dwightduffus@emory.edu
Date: 2019-01-18 at 4:00PM
Venue: W301
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Abstract:
An edge coloring of the complete graph Kn is called a Gallai coloring if it does not contain any rainbow triangle, that is, a triangle in which all three edges have distinct colors. Given a set of k colors and integer n, we are interested in the number of Gallai colorings of Kn with colors from the given set. In particular, we show that for k at most exponential in n, namely, k < 2^n/4300, almost all Gallai colorings use at most 2 colors. Interestingly, this statement fails for k > 2^n/2. This is joint work with Josefran O. Bastos and Fabricio S. Benevides (University of Ceara, Brazil).
Title: TBA
Seminar: Algebra
Speaker: Ari Shnidman of Boston College
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2019-01-22 at 4:00PM
Venue: W201
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Abstract:
Title: Indefinite theta functions and quantum modular forms of higher depth
Seminar: Algebra
Speaker: Jonas Kaszian of Mathematics Institute University of Cologne
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2019-02-19 at 4:00PM
Venue: W201
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Abstract:
In the last years, the understanding of indefinite theta functions has advanced through the work of multiple authors, exhibiting them as mock modular forms of higher depth. We will present results (joint with Kathrin Bringmann and Antun Milas) where we used the completions of indefinite theta functions to show quantum modular properties of certain higher rank false theta functions (appearing naturally in representation theory).