Uploaded October 2024 | Updated September 2026, 2 weeks ago
Listen to Bishal Deb, a postdoctoral researcher at Sorbonne University, talk on the totally positive matrix and its connection to enumerative combinatorics as part of his lecture, 'Coefficientwise total positivity of Hankel Matrices in Counting Problems' at Ahmedabad University.
The talk introduced the concept of total positivity and Hankel matrices. The talk explained the result by Gantmacher and Krein and showed its relation to the Stieltjes moment problem and continued fractions. Through examples of sequences in combinatorics whose Hankel matrices are totally positive, the talk discussed how these ideas can be extended to coefficientwise total positivity and mentioned some proof techniques used in this field.
The lecture was a part of the Mathematical and Physical Sciences Research Seminar organised by Ahmedabad University's School of Arts and Sciences.
Listen to Bishal Deb, a postdoctoral researcher at Sorbonne University, talk on the totally positive matrix and its connection to enumerative combinatorics as part of his lecture, 'Coefficientwise total positivity of Hankel Matrices in Counting Problems' at Ahmedabad University.
The talk introduced the concept of total positivity and Hankel matrices. The talk explained the result by Gantmacher and Krein and showed its relation to the Stieltjes moment problem and continued fractions. Through examples of sequences in combinatorics whose Hankel matrices are totally positive, the talk discussed how these ideas can be extended to coefficientwise total positivity and mentioned some proof techniques used in this field.
The lecture was a part of the Mathematical and Physical Sciences Research Seminar organised by Ahmedabad University's School of Arts and Sciences.
