Overview
During the spring semester of 2017 we will run a reading group on applications of Siegel modular forms to coding theory. The primary source for this material will be the paper by Bill Duke On codes and Siegel modular forms. Notes will be posted on this website as they are available.
Location and Time:
Tuesdays and Thursdays 2:00 – 3:15 in Edwards 308
Participants:
- Travis Baumbaugh (grad)
- Jim Brown (faculty)
- Ben Case (grad)
- Hugh Geller (grad)
- Luke Giberson (grad)
- Kevin James (faculty)
- Fiona Knoll (grad)
- Huixi Li (grad)
- Hiram Lopez (faculty)
- Felice Manganiello (faculty)
- Andrew Pangia (grad)
Lectures:
- The Hamming code, lattices, theta series, and Lie algebras (Jim Brown)
- Codes: definitions and basic facts (Andrew Pangia)
- Lattices and lattices associated to codes (Ben Case)
- Elliptic modular forms with a focus on theta series (Huixi Li)
- Siegel modular forms with a focus on theta series (Hugh Geller)
- Weight enumerators and analytic class invariants (Travis Baumbaugh)
- Algebraic independence of theta constants (Luke Giberson)
- Finishing the proof and summary of the paper (Fiona Knoll)