Lecture Schedule (at Evans 736, Tuesdays 11:00am – 12:30pm)

1. 02/04: Kabir Kapoor, Overview and Goals
2. 02/11: Yuji Okitani, Linking Numbers
3. 02/18: Notes on prime decomposition forthcoming...
4. 02/25: Sean Gonzales, Alexander and Iwasawa Modules
5. 03/04: Kabir Kapoor, Gauge Fields in Topology and Arithmetic
6. 03/11: Jerry Yang, Étale Cohomology of Number Fields I
7. 03/18: Sanjeev Balakrishnan, Étale Cohomology of Number Fields II
8. 04/01: Jacob Erlikhman, Dijkgraaf-Witten Theory I
9. 04/15: Jacob Erlikhman, Swapnil Garg, Yuji Okitani, Dijkgraaf-Witten Theory II
10. 04/22: Jacob Erlikhman, Swapnil Garg, Yuji Okitani, Dijkgraaf-Witten Theory III
11. 04/29: EGO, Dijkgraaf-Witten Theory IV: Proof of Mednykh's Formula
12. 05/05: Kabir Kapoor, Arithmetic Chern-Simons Theory I (notes forthcoming...)

References (to be updated...)

1. Balsells, Dijkgraaf-Witten Theory
2. Ben-Zvi, Representation Theory and Topological Field Theory
3. Kim, Arithmetic Gauge Theory: A Brief Introduction
4. Kim, Arithmetic Chern-Simons Theory I-II
5. Kohno, Conformal Field Theory and Topology
6. Mazur, Remarks on The Alexander Polynomial
7. Mazur, Notes on the étale cohomology of number fields
8. Mnev, Quantum Field Theory: Batalin-Vilkovisky Formalism and Its Applications
9. Morishita, Knots and Primes
10. Teleman, Five Lectures on Topological Field Theory