Prev. week | Mar 30 – Apr 5, 2025 | Next week
Sunday,
March 30 |
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Monday,
March 31 |
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Tuesday,
April 1 |
- 14:00 Algebra and Number Theory Seminar, Kemeny 343
 
- Toward secondary terms for 2-Selmer groups in special families of elliptic curves
- Ashvin Swaminathan, Harvard University
- A well-known result of Bhargava and Shankar states that when
elliptic curves over Q are ordered by naive height, the average size of
their 2-Selmer groups is equal to 3. But this result is at odds with
computed tables of 2-Selmer groups of elliptic curves, which indicate an
average of slightly less than 3. Recent work of Shankar and Taniguchi
suggests that the asymptotic count of 2-Selmer elements possesses a
negative second-order term, which would explain the discrepancy. In this
talk, we will discuss progress toward obtaining second-order asymptotics
for 2-Selmer groups in special families of elliptic curves, such as the
family of Mordell curves.
- 14:00–15:00 Combinatorics Seminar, Kemeny 307
- Properties of Box-Ball Systems
- Laura Navarrete, Universitat Politècnica de Catalunya
- Box-Ball Systems are dynamical systems consisting of labeled balls placed in an infinite array that jump according to a fixed set of rules. These balls will reach a steady state in which they are organized into increasing subsequences called solitons, which are used to construct Young tableaux. In this talk, we will explore the relationship between these tableaux and the insertion and recording tableaux given by the RS algorithm. Permutations for which these tableaux have the same shape are called good permutations. We will describe some properties of good permutations, showing in particular that they are closed under consecutive pattern containment, which was previously conjectured by Gunawan at al. This is joint work with Sergi Elizalde.
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Wednesday,
April 2 |
- 13:30 Thesis Defence, Haldeman 041
- Evolutionary Dynamics of Artificial Agents: Exploration and Learning in Games
- Brian A. Mintz, Dartmouth College
- As we see rapid shifts in society brought on by advances in artificial intelligence and changes to the political (and literal) climate, it becomes increasingly important to understand how to foster cooperation within and between communities. Our work extends models from evolutionary game theory used to understand cooperation to more complex, intelligent agents. We characterize the stability of equilibria in the open problem of exploration vs exploitation under a range of models including multi-agent reinforcement learning, a popular machine learning technique. We also analyze an opinion dynamics model with the counterintuitive effect that introducing trivial topics can completely change whether a population will polarize or reach consensus. This work has applications to fields from biology, computer science, and economics, to psychology, ecology, and sociology, giving it broad potential impacts.
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Thursday,
April 3 |
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Friday,
April 4 |
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Saturday,
April 5 |
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Prev. week | March 30 – April 5, 2025 | Next week
