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Number Theory
Student Seminar
Invites you
to our next gathering
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Time: Place: |
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An Introduction to Quantum Groups
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Speaker: |
Abhijnan Rej (Boston University)
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| Abstract: |
In this talk, I will present an elementary introduction to Hopf algebras and quantum groups as defined by Drinfel'd. I will present several examples of quantum groups but focus mostly on q-deformed matrix groups. I will then move on to the elements of the C*- algebraic theory of compact quantum groups, mainly describing Woronowicz's construction of SU_q(2). Lastly, by introducing a suitable notion of isomorphism for quantum groups, I will describe a classification theorem for SU_q(2) due to Wang and talk about its consequence for noncommutative geometry a la Connes and Manin. |
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