ICTP Math Associates Seminar (Zoom Meeting) - Thursday 15 April at 15:00 (Tony Ezome)

[ICTP Math Section]

ICTP Math Associates Seminar


Thursday 15 April, at 15:00, Central European Time



Please register in advance for this meeting: 
https://zoom.us/meeting/register/tJMqde2ppz0uH9GuZE6ndZfU9ct2qD1W-P9W\

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information about joining the meeting.


Speaker: Tony Ezome (USTM, Gabon and Pole of Research in Mathematics and 
Applications in Africa - PREMA)


Title: Hopf-Galois Structures on Separable Field Extensions


Abstract: Hopf-Galois theory is a generalization of the classical Galois 
theory. The concept of Hopf-Galois extension is due to Chase and 
Sweedler [1]. They introduced it in 1969 to study purely inseparable 
extensions of fields and ramified extensions of rings. Then, in 1987, 
Greither and Pareigis [2] developed Hopf-Galois theory for separable 
field extensions. In the first part of this talk, we will present 
Hopf-Galois structures of separable field extensions by going from well 
known results within Galois theory. Then we will focus on Hopf-Galois 
structures which are minimal. All along the talk, we will give detailed 
examples.


References
[1] S. U. Chase and M. E. Sweedler. Hopf Algebras and Galois Theory. 
Springer-Verlag,New York/Berlin, 1969. Lecture Notes in Mathematics, 
Vol. 97.

[2] C. Greither and B. Pareigis. Hopf Galois theory for separable field 
extensions. J.Algebra, 106:239–258, 1987.