Applications of Conformal and Quasiconformal Maps
Mayank Goswami (City University of New York)
| Speaker |
Mayank Goswami (City University of New York)
|
|---|---|
| When |
Dec 09, 2024
from 02:00 PM to 03:00 PM |
| Where | LH-111, First Floor (Hybrid) |
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Abstract: This talk will give an overview of some problems in the theory of (quasi)conformal maps that arise in computer science.
1. The field of computer vision motivated the problem of computing Teichmuller maps, also called extremal quasiconformal maps. I will describe an algorithm that computes Teichmuller maps, and mention some (theoretical and applied) open problems.
2. We will see how the concept of harmonic measure can be used to analyze security aspects of routing algorithms in networks.
3. We will see how the theory of flat surfaces and billiards can be used to construct efficient algorithms for data aggregation in networks.
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