Seminars & Colloquia Calendar

Download as iCal file

Algebra Seminar

The algebraic theory of systems

Louis Rowen, Bar-Ilan Univ

Location:  SERC 206
Date & time: Wednesday, 27 March 2019 at 2:00PM - 3:00PM

Abstract:  The notion of ``system'' is introduced to unify classical algebra with tropical mathematics, hyperfields, and other related areas for which we can embed a partial algebraic structure into a fuller structure from which we can extract more information. The main ideas are a generalized negation map since our structures lack classical negatives, and a ``surpassing relation'' to replace equality. 

We discuss this theory with emphasis on the main applications, which will be described from the beginning: 
1. Classical algebra 
2. Supertropical mathematics (used for valuations and tropicalization) 
3. Symmetrized systems (used for embedding additively idempotent semi structures into systems) 
4. Hyperfields

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.