### On limit groups over RAAGs

Algebra and Geometry Seminar

3rd October 2018, 2:30 pm – 3:30 pm

Howard House, 4th Floor Seminar Room

The class of limit groups played an important role in the

solution of the Tarski problems by Sela and Kharlampovich-Miasnikov.

They admit very rich and diverse characterizations and this versatile

nature makes them a fine

example of the connection between Group Theory, Algebra, Geometry and

Model Theory. In the first part of the talk, I will introduce the class

of limit groups and review the classic results for free groups. In the

second part, I will discuss the class of limit groups over right-angled

Artin groups: its structure and a universe for them. This is based on

joint work with I. Kazachkov and work in progress with A. Duncan and I.

Kazachkov.

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