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Equations in groups

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If you have a question about this talk, please contact Maurice Chiodo.

The Diophantine Problem in group theory can be stated as: is it algorithmically decidable whether an equation whose coefficients are elements of a given group has at least one solution in that group?

The talk will be a survey on this topic, with emphasis on what is known about solving equations in free groups. I will also present some of the recent developments connecting this topic to formal languages, joint with V. Diekert and M. Elder. If time allows, I will conclude with results concerning the Diophantine Problem in virtually direct products.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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