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The Institute of Mathematical Sciences
A national institute for research in the theoretical sciences

Upcoming Events

Sep 22
15:30-16:30
Abhirup Chatterjee | IMSc
Auto-correlation of the truncated Möbius function over polynomials.
In 1965, Sarvadaman Chowla conjectured that ∑_{n≤x} μ(F(n)) = o(x) for every squarefree polynomial F with integer coefficients. For F(x) = x this is equivalent to the prime number theorem, but it remains open for every F of higher degree; taking F to be a product of distinct linear factors recovers the familiar autocorrelation form of the conjecture. In this talk I consider the analogue over F_q[t] for the truncated Möbius function μ_M, which records only the prime factors of degree at most M. I will establish the two-point correlation estimate in this setting, explain the connection to the Erdős–Kac theorem that makes the truncated problem tractable, and describe what obstructs removing the truncation. https://www.imsc.res.in/~anupdixit/IMSc-CMI-NT-seminar.html
Mathematics Seminar | Alladi Ramakrishnan Hall
Sep 24
09:00-18:00
NA | IMSc
NA
Conference | Ramanujan Auditorium
Sep 24
15:30-16:30
Aniban Mukhopadhyay | IMSc, Chennai
Reversibility in the Picard group
We shall discuss counting reversible elements in the Picard group. This group exhibits a higher count than equidistribution would allow. This exceptional feature can be explained partly by its action on hyperbolic 3-space and partly by its arithmetic. We'll try to explore this and also compare it with the modular group which acts on the hyperbolic 2-space. The counting includes joint work with Debattam Das and Krishnendu Gangopadhyay.
Mathematics Colloquium | Alladi Ramakrishnan Hall
Sep 25
09:00-18:00
NA | IMSc
NA
Conference | Ramanujan Auditorium
Sep 25
09:30-11:15
Mohit Garg
Discrete Maths
TCS Seminar | E C G Sudarshan Hall
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The Institute of Mathematical Sciences
IV Cross Road, CIT Campus
Taramani
Chennai 600 113
Tamil Nadu, India.
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