Special Talk: 1)Robot Motion Planning 2)A World of Genetic Trees

February 3, 2017 Special Talk



lecture-Feb23

Special Talks

by

Professor Satyan Devadoss

University of San Diego

Thursday, 23 February 2017, 1:15-3:00pm

MATH 1208/9, 12th Floor, Mahavajirunnahit Building

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TALK #1: (40 minutes)

Robot Motion Planning

Abstract: We want to keep track of robots moving in a room, helping them avoid collisions with obstacles and other robots. The adventures of robot motions and robot collisions leads to new worlds of mathematics, including polyhedra, tilings, string theory, and genetics.  During this journey, we learn what multiplication is really about, allowing us to visualize and draw in four dimensions.  This talk is heavily based on pictures and no background is needed.

TALK #2: (40 minutes)

A World of Genetic Trees

Abstract: Phylogenetics is the analysis of evolutionary trees based on shared genetic characteristics.  Given some data from objects, how can a tree be constructed which shows the proper relationships between the objects?  This is a beautiful subject with a tremendous amount of active research, relating powerful ideas from statistics, computer science, biology, and mathematics, with wide range of applications.  We explore not just one tree, but build a space of all possible trees (using ideas from robot motion planning), and then understand some of its remarkable properites.