OSU Mathematics Seminars and Colloquia
Calendar
Fri, Apr 19, 2019
Colloquium
4:00 PM
MSCS 514
Ensuring data availability and protection using algebraic geometry
Dr. Gretchen L. Matthews, Virginia Tech
Host: Ed Richmond
Note the later time to accommodate the OSUTeach event at 3:00.
[Abstract] [PDF]
Abstract: Data is generated at astonishing rates, and users often wish to store this data for retrieval at any given moment. How can this be accomplished so that data is protected from distortion, degradation, and loss while being immediately available to users? Answers to some of these questions may be found using algebraic geometry. Algebraic geometry codes are constructed using curves over finite fields and are a generalization of the ubiquitous Reed-Solomon codes. Their discovery in the 1980s motivated much work on curves over finite fields with many rational points and asymptotically good towers of function fields. Recently, with the growing importance of distributed storage, there has been a renewed interest in algebraic geometry codes. This is due to their robust structure which can yield powerful local properties. In addition, algebraic geometry codes play roles in quantum error correction and code-based cryptosystems, topics which will be discussed as time allows.
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