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Schedule, Notes/Handouts & Videos

The History of Algebra in the Nineteenth and Twentieth Centuries April 21, 2003 - April 25, 2003

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Apr 21, 2003
Monday
08:00 AM - 05:00 PM
  On the history of the Frobenius- and Tchebotarev-Density
Gunther Frei
08:45 AM - 09:00 AM
  Welome and introduction
Loa Nowina-Sapinski
09:00 AM - 10:00 AM
  Very full of symbols: Duncan F. Gregory, the calculus of operations, and the Cambridge Mathematical Journal
Sloan Despeaux
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Between algebra and analysis: The impact of the French school of Idéologie on Charles Babbage’s work on functional equations
Eduardo Ortiz
11:30 AM - 01:00 PM
  Lunch
01:00 PM - 02:00 PM
  F. S. Macaulay: An English schoolmaster and abstract algebra
Jeremy Gray (University of Warwick)
02:00 PM - 03:00 PM
  Quotient rings of noncommutative rings
Severino Coutinho
04:10 PM - 05:10 PM
  The mathematical legacy of James Joseph Sylvester (1814-1897)
Karen Parshall (University of Virginia)
Apr 22, 2003
Tuesday
09:00 AM - 10:00 AM
  On the early history of commutative algebra with special emphasis on divisibility theories and the foundations of algebraic geometry
Olaf Neumann
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Kronecker’s ‘Fundamentalsatz der Allgemeinen Arithmetik’ and its relations to the fundamental theorem of algebra
Harold Edwards
11:30 AM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  From Algebra (1895) to Moderne Algebra (1930), changing conceptions of a discipline: A guided tour using the Jahrbuch uber die Fortschritte der Mathematik
Leo Corry
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Discussion: National contexts in the formation of mathematics
Karen Parshall (University of Virginia)
04:30 PM - 05:30 PM
  Reception
Apr 23, 2003
Wednesday
09:00 AM - 10:00 AM
  Defining a mathematical research school: The case of algebra at the University of Chicago, 1892-1950
Karen Parshall (University of Virginia)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Leonard Dickson’s algebraic research and its institutional context: A case study of A. Adrian Albert
Della Fenster
11:30 AM - 01:00 PM
  Lunch
01:00 PM - 02:00 PM
  Historical notes on Emmy Noether’s 1932 ICM lecture on simple algebras and algebraic number theory
Charles Curtis (University of Oregon)
02:00 PM - 03:00 PM
  On the local-global principle in arithmetic and algebra
Joachim Schwermer
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Discussion: Institutions and their role in the formation of mathematics
Karen Parshall (University of Virginia)
Apr 24, 2003
Thursday
09:00 AM - 10:00 AM
  On the theory of density of primes and the irreducibility of polynomials in the nineteenth century
Gunther Frei
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  The rising tide: Grothendieck on simplicity and generality
Colin McLarty
11:30 AM - 01:00 PM
  Lunch
01:00 PM - 02:00 PM
  Shaping Bourbaki’s algebra
Liliane Beaulieu
04:10 PM - 05:00 PM
  Kurt Heegner: An outsider in number theory (UC Berkeley Math Dept. Colloquium, at Evans Hall, Room 60)
Norbert Schappacher
Apr 25, 2003
Friday
09:00 AM - 10:00 AM
  Bartel van der Waerden’s work on algebraic geometry
Norbert Schappacher
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  On the arithmetization of algebraic geometry: The case of Oscar Zariski
Silke Slembek
11:30 AM - 01:00 PM
  Lunch
01:00 PM - 01:50 PM
  Discussion: What is, or was, modern algebra?
Karen Parshall (University of Virginia)
02:00 PM - 02:50 PM
  Discussion: Conclusions
Karen Parshall (University of Virginia)
04:00 PM - 05:00 PM
  Partition: Hardy and Ramanujan in Berkeley (at the Sibley Auditorium in the Bechtel Engineering Center, UC Berkeley)
Jeremy Gray (University of Warwick)
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