Time: Weekly on Thursdays, 3-4pm
Location: JCC 502
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Contacts

Kathryn Beck
Fulton Gonzalez
Shuang Guan
Daniel Riley (web admin)

Date Speaker Topic
January 15 Organizational Meeting May not occur — check again closer to date
January 22 Kate Wall,
Tufts University		 TBA
January 29 Mickey Salins,
Boston University		 TBA
February 5 Djordje Nikolic,
UMass Amherst		 TBA
February 12 Trevor Camper,
Dartmouth College		 TBA
February 19
Tufts Monday schedule		 Vignon Oussa,
Bridgewater State
A Trichotomy Approach to the HRT Conjecture

We look at a finite collection of time–frequency shifts built from two parts:

Lattice part – all but one shift lie on the usual integer grid;
Rogue shift – one extra shift sits off that grid.

For any non-zero Schwartz function \(f\), the vectors obtained by applying those shifts to \(f\) are linearly independent. Assuming a dependence leads, via the Zak transform, to a torus equation tying size and phase. An orbit trichotomy for the induced translation then shows: dense orbits force \(f=0\); finite orbits invoke Linnell’s lattice theorem; infinite but non-dense orbits are excluded by a new rigidity argument blending ergodic averages with phase analysis. These three mutually exclusive cases cover all possibilities, settling the Heil–Ramanathan–Topiwala conjecture for mixed-integer configurations with Schwartz windows.

February 26
March 5
March 12
March 19 No speaker Spring break
March 26
April 2 Gage Hoefer,
Dartmouth College		 TBA
April 9 Brendan Mallery,
Tufts University		 TBA
April 16
April 23
April 30 Reading period