October 21: Keivan Mallahi-Karai (Jacobs University, Bremen), Minimal faithful representation of Chevalley groups over finite rings
Abstract: For a finite group G, denote by m_f(G) the minimum possible dimension of a faithful linear representation of G. I will talk about recent lower bound for m_f(G) for some Chevalley groups G over finite rings. It turns out to be asymptotically the same as in the results by Landazuri, Seitz and Zalesskii in the case of split Chevalley groups over finite fields. This is joint work with Mohammad Bardestani, Camelia Karimianpour, and Hadi Salmasian.
October 28: Kelsey Horan (CUNY Graduate Center), Deep Convolutional Neural Networks for Left Ventricle Segmentation
Abstract: Left Ventricle (LV) segmentation is very important to quantitative global and regional cardiac function analysis. Most of the current LV segmentation methods are based on Active Contour and Region Growing approaches which require manual initialization by the clinician. Therefore, a fully automated segmentation method truly satisfies physician needs. In this work we propose a Gabor-based Deep Convolutional Neural Network to automatically segment the LV wall in Magnetic Resonance Imaging (MRI). We also introduce a novel updating procedure for the network that takes into consideration the mathematical structure of the network parameters. Then, we propose alternative CNN parameters that are elements of algebraic groups.
This is joint work with Somayeh Molaei, Delaram Kahrobaei, Kayvan Najarian, and Brahmajee Nallamothu.
November 4: Nigel Boston (University of Wisconsin, Madison), Information Inequalities, Entropy Regions, and Groups
Abstract: Entropy regions are fundamental but poorly understood objects, central to computing network coding capacities, but also describable purely in terms of groups. Nan and I have used group theory to shed light on these mysterious regions.
November 11: Emina Soljanin (Rutgers University), TBA
December 2: Roy Lederman (Princeton University), TBA
December 9: Manhattan Algebra Day
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