Is it always possible to reconstruct a point configuration in the plane from the unlabeled set of mutual distances between the points? This and other questions translate to invariant theory and ultimately into problems about polynomial ideals. As it turns out, the following question is related: Can a drone detect the walls of a room from hearing the echoes of a sound? What if it is unknown at what time the sound was emitted? Attacking this question again leads to ideal theory and requires massive computer algebra computations. The talk presents results by Mireille Boutin and the speaker, some of them old and some very recent.

https://www.professoren.tum.de/en/kemper-gregor

Zoom link: https://ncsu.zoom.us/j/92655034371?pwd=czdYTDd4QlRuOUc3bFpUQzFLRnZVQT09

Meeting ID: 926 5503 4371
Passcode: symbolic