# Optimal irrigation problems and biological applications

## Geometry Luncheon Seminar

## Meeting Details

For more information about this meeting, contact Kristin Berrigan, Dmitri Burago.

**Speaker:** Alberto Bressan, PSU

**Abstract:** Given N points in the plane, the Steiner problem (dating back to Gauss)
consists in finding the shortest connected set of line segments that contains all these points.
In a similar problem proposed by Gilbert, N houses must be connected to a well
by a network of pipes, minimizing a cost which accounts for
the length of each pipe and also for the corresponding flux of water.
This talk will cover a more general irrigation problem, where the final distribution of
water (instead of N point masses) is any given Radon measure.
Applications to the optimal shapes of tree roots and tree branches will be discussed.

## Room Reservation Information

**Room Number:** 114 McAllister

**Date:** 11/13/2019

**Time:** 12:00pm - 1:30pm