[Probabilidad-Estadistica-Seminario] Seminario de Probabilidad y Estadística - Santiago Robaina y Xavier Berthet (GeneGebra)

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Mie Sep 2 08:00:07 -03 2026


Seminario de Probabilidad y Estadística
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Título: "The Algebra of Genomes – From Galois Fields to Random Walks."

Expositor: Santiago Robaina y Xavier Berthet (GeneGebra)

Resumen:
 
Motivation:   By encoding nucleotide sequences as elements of finite algebraic
structures, rather than as strings over a fixed alphabet, we obtain
representations that are simultaneously more compact and more computationally
tractable, enabling direct algebraic operations on genomic data without
decompression.

Main Results:   We present explicit constructions showing that key sequence-
analysis tasks (alignment, motif-finding, compression) admit natural
formulations in this algebraic setting, with preliminary results suggesting
substantial gains in both storage and query performance over standard formats.

Open Questions:   We close with conjectural directions linking these structures
to deeper symmetries of the genetic code itself, raising the question of whether
the algebra is not merely a convenient encoding but reflects an underlying
mathematical structure of biological information.
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Viernes 4/9 a las 10:30, Facultad de Ingeniería, Salón 703 - Rojo (7mo piso).

Contacto: Laura Aspirot - laspirot en gmail.com
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https://salavirtual-
udelar.zoom.us/j/87033011104?pwd=qnKGw4syp4Izilf5QekV7Ama7oyjXZ.1
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