# Student Seminar: Number Theory and Automorphic Forms

Organizers:
Lior Silberman,
Julia Gordon,
Bill Casselman.

Contact: lior |
@ |
math.ubc.ca |
; MATH 229B |
; 604-827-3031 |

## Winter 2012: *Representation Theory of *SL_2(R)

- References are listed below. We will assume multivariable calculus
and the representation theory of finite groups.
- To take the seminar for credit please register for MATH 592B, section 201.
Your grade will mainly be determined based on your lectures.

- We will meet on Fridays 11:00-12:30 in MATH 126.

## Agenda

Meeting | Title | Speaker | Notes & References |

1. 6/1 | Organization |
— | |

2. 13/1 | The group $\SL_2(\R)$ |
Asif Zaman | |

3. 20/1 | The Bargmann classification I |
Xinyu Liu | |

4. 27/1 | The Bargmann classification II |
Xinyu Liu | |

5. 10/2 | The Discrete Series I |
Athena Nguyen | |

6. 17/2 | The Discrete Series II |
Athena Nguyen | |

7. 2/3 | Asymptotics of matrix coefficients |
Asif Zaman | |

7. 9/3 | The Poisson Summation Formula |
Lior Silberman | |

8. 16/3 | The trace formula for compact quotients |
XinYu Liu | |

9. 30/3 | Dimensions of spaces of holomorphic newforms |
Athena Nguyen | |

8. 6/4 | Weyl's law for a compact quotient |
| |

## References

| Author(s) | Title | Data |

[1] |
A. Knapp |
Representation Theory of Semisimple Groups |
Princeton University Press |

[2] |
S. Lang |
SL_2(R) |
GTM 105 |

Back to my homepage.

Clarification: the content on these pages is made available for traditional
reuse, but is **expressly excluded** from the terms of
UBC Policy 81.

Last modified Thursday March 22, 2012

## References

| Author(s) | Title | Data |

[1] |
A. Knapp |
Representation Theory of Semisimple Groups |
Princeton University Press |

[2] |
S. Lang |
SL_2(R) |
GTM 105 |

Back to my homepage.

Clarification: the content on these pages is made available for traditional
reuse, but is **expressly excluded** from the terms of
UBC Policy 81.

Last modified Thursday March 22, 2012