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Watch a 53-minute conference talk exploring the Hassett-Keel Program specifically applied to genus 4 curves, presented at the 2025 Annual Meeting of the Simons Collaboration on Moduli of Varieties. Delve into advanced algebraic geometry concepts as the speaker examines the intricate relationships between moduli spaces and their compactifications in the context of genus 4 algebraic curves. Learn about the theoretical framework of the Hassett-Keel Program, which provides systematic approaches to understanding the birational geometry of moduli spaces, and discover how these principles apply to the specific case of genus 4. Gain insights into cutting-edge research in moduli theory, exploring the geometric and arithmetic properties that emerge when studying curves of genus 4 within this mathematical framework. This presentation forms part of a specialized mathematical conference focused on advancing understanding of moduli of varieties and their applications in contemporary algebraic geometry research.
