About
This summer school offers introductory lectures on poset combinatorics and symmetric group representations, aimed at graduate and advanced undergraduate students.
Program
- Morning (9:30–12:30): Poset Combinatorics – Selçuk Kayacan
- Afternoon (13:30–16:30): Representations of the Symmetric Group – Müge Taşkın
Lecture Topics
Poset Combinatorics
The first lecture series will focus on poset combinatorics. The course will begin with the Möbius function in number theory and extend this concept to arbitrary posets. Following this, the order complex of a poset will be introduced, providing a topological perspective on the subject.
Methods from topological combinatorics will also be explored, with a possible discussion on Discrete Morse Theory, a tool used in topological data analysis. If time permits, its applications in this field will be highlighted.
Prerequisites: Basic knowledge in algebra, number theory and topology. Advanced undergraduates with strong mathematical maturity are welcome.
Representations of symmetric group
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Date
June 23-27, 2025
Venue
The summer school will be held at Feza Gürsey Center for Physics and Mathematics, Boğaziçi University, Kandilli Campus, Istanbul, Turkey. For more details about the center, including directions and classroom locations, please visit the website Feza Gürsey Center for Physics and Mathematics.
Practical Information
- Accommodation: Unfortunately, we are unable to provide accommodation for participants. Attendees should arrange their own lodging.
- Food Options: There are not many alternative restaurants nearby, but the campus cafeteria provides affordable lunch options.
Registration
The summer school is free of charge, but participants must register. The registration deadline is June 13, 2025. Please fill out the registration form here:
Related Event: Combinatorics and Geometry in İstanbul
This summer school serves as a preparatory event for the workshop Combinatorics and Geometry in İstanbul, which will take place on August 5-6, 2025.
The workshop aims to bring together researchers in combinatorics, algebra, and geometry from Turkey and abroad. Graduate students attending the summer school will have the opportunity to build foundational knowledge that may help them engage with the research-level discussions in the workshop.
Organizers
- Müge Taşkın (Boğaziçi University)
- Selçuk Kayacan (Bahçeşehir University)