Hamiltonicity in pseudorandom graphs: Pósa rotation.

Event Date: Jun 04, 2024 in Seminario de Grafos, Seminars

Abstract: In this series of talks, we will study different approaches to the Hamiltonicity problem in sparse pseudorandom graphs. In this first talk, we will review the celebrated “extension-rotation” technique pioneered by Pósa in the 70s and how to use it in pseudorandom graphs to find Hamilton cycles.

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Hunting transient astrophysical events with the ALeRCE community broker.

Event Date: Jun 03, 2024 in Seminars, SIPo (Seminario de Investigadores Postdoctorales)

Summary: The Automatic Learning for the Rapid Classification of Events (ALeRCE) is a Chilean-led astronomical alert broker, and one of the seven brokers selected to receive the full alert stream from the Rubin Observatory. Since 2019 ALeRCE has been ingesting the public stream from the Zwicky Transient Facility, which contains hundreds of thousands of alerts per night, providing classifications and visualization for the astronomical objects detected. In this talk I describe the ALeRCE project and its different science cases, showing how it has enabled the follow-up and study of young...

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Problemas Respecto a la Invarianza del Espectro de Dicotomia No Uniforme.

Event Date: Jun 03, 2024 in Dynamical Systems, Seminars

RESUMEN: En su tesis doctoral, S. Siegmund demostró que si dos sistemas eran cinemáticamente similares, entones tenían el mismo espectro de dicotomía exponencial. En los ultimos años se han propuesto muchas generalizaciones a este resultado para abarcar las dicotomias no uniformes. En esta charla demuestro que estas generalizaciones no se siguen realmente, ya que se basan en hipótesis que no se alcanzan de manera general. Junto con ello, presento ejemplos explícitos y además propongo una alternativa más débil de la invarianza espectral, empleando vecindades no triviales.

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Componentes de la Motivación por las matemáticas: ¿Cómo la fomentamos en nuestras salas de clase?

Event Date: Jun 11, 2024 in Education, Seminars

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A sequential Stackelberg game for dynamic inspection problems.

Event Date: May 29, 2024 in ACGO, Seminars

Abstract:  This talk considers a game where an inspection authority must verify that a set of operators adhere to a certain rule. The inspector has time to inspect only a few operators, and this must be done sequentially. The operators disclose the sequence of inspections as they occur. We will discuss variants of this sequential game. The talk focuses on the mathematical structure of the set of equilibria of this inspection game, where the inspector is a Stackelberg leader and is capable of performing exactly two inspections. A static and dynamic version of the game are analyzed. In the...

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Event Date: May 28, 2024 in Seminario de Grafos, Seminars

Abstract: On 14/5 I gave a talk revolving around the fat minor conjecture. On 15/5 a paper appeared on Arxiv claiming to disprove it. I will report on this new development and I will attempt to offer a comprehensive view of the new questions that it raises, such as “Is this for real?” and “What now?”.

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