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Mathematics Colloquia

Colloquia - Fall 2014

The following list is updated regularly.​​​​​​​​​​​​​​​​​

Speaker: Sunil Cheb​olu, Illinois State University September 16, 2014
  • 4:00pm - 5:00pm in Pearce Hall 227
  • Coffee & Cookies 3:30pm - 4:00pm in Pearce 216
​​​Title:​​Mersenne primes, Fermat primes, and the Catalan's Conjecture
Abstract: We investigate the following natural problem. When is the multiplicative group of a field indecomposable?  We solve this problem for finite fields and fields of characteristic not equal to 2.  The answer involves Mersenne and Fermat primes, and one solution of this problem involves the famous Catalan's conjecture.  We also have some partial results when the characteristic of the field is 2.  I will discuss these results which are in joint work (arXiv:1407.3481) with Keir Lockridge.
Sp​eaker: Christine Laurent-ThiébautInstitut Fourier, France August 28, 2014
  • 4:00pm - 5:00pm in Pearce Hall 227
  • Coffee & Cookies 3:30pm - 4:00pm in Pearce 216
​Title: On the Hartogs phenomenon and global extension of CR functions.
Abstract: It is well known that any domain in the complex plane is the domain of definition of a holomorphic function (i.e. given a domain there exists a holomorphic fonction defined on it, which cannot be extended holomorphically to a larger domain). This is no more the case in several complex variables, a new phenomenon appears, which was 
discovered by Hartogs in 1905 : any holomorphic function defined outside a compact subset of a domain extends holomorphically to the whole domain.We will discuss this extension phenomenon and present some generalizations in different settings.

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