**Department of Mathematics**

**BILKENT **

**ALGEBRA SEMINAR**

**"****The quaternion group has ghost number three****"**

By

# FATMA ALTUNBULAK AKSU

# (Çankaya University)

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Abstract:** **The ghost number of a group algebra is an invariant measuring the degree to the failure of generating hypothesis in stable module category. Determining the exact value of the ghost number is hard in all but the simplest cases. We proved that the ghost number of the quaternion group, which has tame representation type, is three.In this talk, I will explain the main ideas of the proof. This is a joint work with David J. Green.

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**Date: ****Monday, March 14, 2016**

**Time: ****14.40-15.30**

**Place: ****Mathematics Seminar Room,
SA-141**

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**All are most cordially invited.**

Tea and cookies: before the seminar

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